100 series convergence tests (no food, no water, no stop)

[@VibingMath]

Here you are! You can open a fitness centre and run a course : no food, no water, no stop! More math, less fat hahaha~ Q1. Sum of 1/n, 4:17 Q2. Sum of 1/ln(n), 11:30 Q3. Sum of 1/ln(n^n), 17:23 Q4. Sum of 1/(ln(n))^ln(n), 23:00 Q5. Sum of (-1)^n/arctan(n), 32:04 Q6. Sum of 2^n/(3^n+n^3), 35:47 Q7. Sum of 3^n/(2^n+n^2), 39:01 Q8. Sum of n*sin^2(n)/(n^3+2), 46:17 Q9. Sum of (-1)^n/sqrt(n+1), 49:31 Q10. 1/2-1/3+2/9-4/27+... 55:31 Q11. Sum of (1/sqrt(n)-1/n), 58:21 Q12. Sum of 1/n^2ln(n), 1:03:28 Q13. Sum of 1/sqrt(n)e^sqrt(n), 1:06:54 Q14. Sum of n^n/3^n^2, 1:19:03 Q15. Sum of n^n/(n!)^2, 1:22:06 Q16. Sum of nsin(1/n), 1:28:05 Q17. Sum of 1/(n+3^n), 1:32:09 Q18. Sum of sin(2n)/(n+3^n), 1:34:02 Q19. Sum of n((-1)^n)/(3n+1), 1:36:27 Q20. 1/2+1/6+1/12+1/20... 1:38:28 Q21. Sum of (n!)/e^(n^2), 1:42:52 Q22. Sum of (n^2 + 1)/(n^3 +1), 1:46:35 Q23. Sum of sin(1/n^2), 1:48:59 Q24. Sum of cos^2(1/n), 1:51:51 Q25. Sum of cos(pi x n)/ln(n), 1:53:33 Q26. Sum of (2n + 1)^n / [n^(2n)], 1:58:09 Q27. Sum of 1/2^[ln(n)], 2:00:35 Q28. Sum of 1/3^[ln(n)], 2:03:23 Q29. Sum of (3n^2 + n)/sqrt(n^5 + 2n + 1), 2:04:16 Q30. Sum of n/(2^n), 2:10:41 Q31. Sum of (n!)^2 / (2n)!, 2:17:43 Q32. Sum of 1 / [n^(1+1/n), 2:21:55 Q33. Sum of 1 / [n^(1 + 1/n^2)],2:26:40 Q34. Sum of 1, 2:30:10 Q35. Sum of n^2 / (2^n + 3^n), 2:30:58 Q36. Sum of (1 - 1/n)^n, 2:35:19 Q37. Sum of (1 - 1/n)^(n^2), 2:36:45 Q38. Sum of 1 / sin^4(n), 2:40:25 Q39. Sum of (n!)/(n^n), 2:41:45 Q40. Sum of 1/(n^3 + 3n^2 + 2n), 2:45:56 Q41. If sum of (an)^2 converges, then sum of an also converge, 2:52:52 Q42. If sum of an converges, then sum of (an)^2 also converges, 2:54:09 Q43. If sum of an converges, then sum of 1/(an) must diverge, 2:55:48 Q44. If sum of an diverges, then sum of 1/an must converge, 2:57:16 Q45. If sum of an converges, then sum of (an)/n must also converge, 2:58:40 Q46. If sum of an and sum of bn both converge, then sum of (an + bn) must converge, 3:00:10 Q47. If sum of an and sum of bn both diverge, then sum of (an - bn) must diverge, 3:01:41 Q48. If sum of an and sum of bn both diverge, then sum of (an x bn) must diverge, 3:03:55 Q49. If sum of an and sum of bn both converge, then sum of (an x bn) must converge, 3:05:57 Q50. Sum of 0, 3:08:15 Q51. Sum of n x sqrt[sin(1/n^2)], 3:08:52 Q52. Sum of [1 - sin(1/n)], 3:12:16 Q53. Sum of [1 - cos(1/n)], 3:18:05 Q54. Sum of 1 / cubert(2^n + 1), 3:22:51 Q55. Sum of 1/[sqrt(n) x ln(n)], 3:25:49 Q56. Sum of (n - 1)/sqrt(n^3 + 2n + 5), 3:26:32 Q57. Sum of [n^2 x 2^(n+2)] / 4^n, 3:32:00 Q58. Sum of [(nth root of 2) - 1], 3:36:55 Q59. Sum of [(nth root of 2) - 1]^n, 3:41:30 Q60. Evaluate sum of an, where a1 = 9 and an = (6 - n) x an-1, 3:43:23 Q61. Sum of [(n!)^n] / [n^(10n)], 3:46:23 Q62. Sum of [(2n)!] / n^n, 3:48:14 Q63. Sum of e^(-n) x sin n, 3:52:46 Q64. Sum of [tan(1/n)] / n^2, 3:56:58 Q65. Sum of (n^10 x 4^n) / n!, 4:01:53 Q66. Sum of (2^n x n!) / (n + 2)!, 4:04:58 Q67. Sum of 1 / sqrt(n!), 4:09:13 Q68. Sum of 1 / ln(n!), 4:11:24 Q69. Sum of [n(n+2)] / (2n+1)^2, 4:15:33 Q70. Sum of [e^(1/n) - e^(1/(n+2))], 4:16:57 Q71. Sum of (ln n) / n^2, 4:21:15 Q72. Sum of n^3 / (2n^5 + 3n - 4), 4:23:32 Q73. Sum of [(1-2n)/(3+4n)]^n, 4:24:54 Q74. Sum of (e^n) / [2^(2n-1)], 4:27:28 Q75. Sum of (n^3 - 2n - 1) / (2n^5 + 3n - 4), 4:30:02 Q76. Sum of 1 / (n + sqrt(n)), 4:33:12 Q77. Sum of 1 / (n x sqrt(n)), 4:35:15 Q78. Sum of sqrt(cos(1/n)), 4:36:10 Q79. Sum of (3^n x n^2) / n!, 4:37:45 Q80. Sum of n / (2^n), 4:41:09 Q81. Values of x for 1^x + 2^x + 3^x + ... + n^x + ... converge, 4:51:19 Q82. Values of x for x^1 + x^2 + x^3 + ... + x^n + ... converge, 4:53:08 Q83. Values of x for sum of (x - 2)^n / n^n converge, 4:54:39 Q84. Values of x for sum of (x^n) / n converge, 4:58:43 Q85. Values of x for sum of (x - 1)^n / (n x 3^n) converge, 5:04:18 Q86. Values of x for sum of (n!) x^n converge, 5:09:00 Q87. Values of x for sum of 1 / [x(ln x)^k] converge, 5:12:24 Q88. Values of x for sum of [1/(1 - x)]^n converge, 5:15:44 Q89. Values of x for sum of (sum of x^m)^n converge, 5:19:35 Q90. Sum of [(-1)^n] / (n!), 5:24:28 Q91. Sum of (pi/2 - arctan n), 5:25:34 Q92. Sum of sin^2 (1/n), 5:29:49 Q93. Sum of 1 / [sqrt n - sqrt(n+1)], 5:32:52 Q94. Sum of [1/sqrt n - 1/sqrt(n+1)], 5:35:55 Q95. Sum of 1 / e^(sqrt n), 5:38:16 Q96. Sum of 1 / [n x sqrt(n^5 - 1)], 5:43:35 Q97. Sum of ln[n/(n+2)], 5:46:12 Q98. Sum of 1/(e^n + 1), 5:49:23 Q99. Sum of 1/ln(e^n - 1), 5:50:42 Q100. 1 - 1/2 + 1/3 - 1/4 + 1/5 - 1/6 + ..., 5:54:20 Q101. Sum of (3^n x n!) / (n^n), 6:00:25

[@blackpenredpen]

Mak Vinci omg!! Mak, you are the real MVP!! Thank you!!!

[@VibingMath]

@@blackpenredpen Not at all man, compared to your 6-hour non-stop math doing!

[@蛰扉]

@@VibingMath thx 4 u, and bprp's 6-hour long work. (btw, is he gonna make a playlist called: 100 everything?)

[@VibingMath]

@@蛰扉 Try 100 differentiation series, start from x^100 and differentiate 100 times, will be a lot easier XD

[@蛰扉]

@@VibingMath i was gonna say that! how can u have integrals without derivatives?

[@ceddy162]

School bell: *rings* Teacher: Let me just say one more thing. Teacher:

[@amirm2626]

lol😂😂😂

[@atzxlbladell]

JAJAJJAJAJA

[@seilyyy]

JAJAJAKAJSDNDKSNJZNZKSLDKWINDJX MI PROFE DE FÍSICA

[@YouTubeCDMX]

Esto es jodidamente real.

[@arturo2126]

Si

[@razerglitch425]

The real talent isn't the math part, it is how he held that microphone for 6 hours easily.

[@blackpenredpen]

Hahahaha!

[@Wanderlust1972]

that isometric exercise with high volume of 6 hours will give you hypertrophy

[@razerglitch425]

Bob Jones oh wow cool 👍

[@brahminzed1417]

@Bob Jones How can you solve infinitely many problems in a few seconds?

[@brahminzed1417]

@Bob Jones Gotcha, I thought you were saying you could solve infinitely many specific problems in a few seconds.

[@bakrkhabbaz926]

That’s a lot of effort bro, those are the people who should be supported ❤

[@blackpenredpen]

Thank you!

[@finemann]

@@blackpenredpen at no.100 the integral of 1/1-x must be -ln(1-x) right? Cause if you differentiate 1/1-x you get 1/(1-x)^2 and what we previously had. Can please check it out and tell me if I'm mistaken? thanks in advance :)

[@baconneedshair3]

@@blackpenredpen yeah you smart teacher

[@dancibotaru6613]

so, what do you eat in the morning ? me : a bowl of cereals this guy : a bowl of serials

[@blackpenredpen]

lol!

[@joconath]

Good Joke....☺

[@ishanbanjara734]

@@blackpenredpen 1:12:45 I guess claim is wrong.. put n=4; will not the value be less than 1?

[@ishanbanjara734]

@@blackpenredpen 1:54:08.. if n=1 wont it be infinity leading the series to be divergent?

[@imlegit8325]

Dan Cibotaru lmao

[@RoccoArgubright]

Me:**Is absent for one day** The teacher:

[@muhammadfaizala6385]

Broooo😂😂😂😂😂😂😂😂😂😂😂😂😂

[@keysangyonthan]

Tf 🤣🤣🤣

[@cinnamonsquash]

Exactly

[@arc420]

🤣🤣😂

[@sureshms3071]

Very true

[@johnvonneumannsdaddy8207]

I did about 15 of these with my friends in 7th grade, and I was SO TIRED. How you did this without dropping dead is awesome. subbed

[@danarch1136]

7th grade?!

[@giornogiovanna9475]

@@danarch1136 he is an Indian and as per my knowledge you should increase his grade by 2 because we all like to fake about our education system

[@Ill_0823]

@@giornogiovanna9475 😂😂

[@Aravind-2906]

@@giornogiovanna9475 you don't get the joke..look at his pfp.. it's fuckin RAMANUJAN ffs. He's referring to him imo

[@giornogiovanna9475]

@@Aravind-2906 no he isn't . If this was supposed to be a joke then he would have also changed his name to ramanujan. He is just a 12 yo who wants to look cool.

[@paroxysmal42069]

Her: he's probably cheating on me with other girls. Him:

[@orangehat1924]

Don't ever bring that retarded joke up when learning math while scrolling through the comments.

[@KokeBeast23]

@@orangehat1924 relax bro damn 🤣

[@orangehat1924]

@@KokeBeast23 It was a joke lol

[@mvigcas30]

OMAYGHAAAAD im laughing so hard right noww HAHAHAHAHA

[@abdomohamed4962]

🤣🤣

[@naren2412]

I don't understand how i get exhausted after a one hour lecture in my college but left out more energetic after watching this video...Thank you so much for this .

[@maggutv1203]

Imagine forgetting to press the record button

[@beforeisleep1616]

Lol

[@bryanansong572]

lmao

[@arghadeepsahakiit6363]

poor joke smart boy

[@Legendxx269]

😂😂🤣🤣

[@leviuchiha3706]

Haha

[@SanNico]

Do it for 3 years daily and you'll become One Integral Man.

[@GiornoYoshikage]

Hope I won't become bald?

[@tutorialeshtmlprod]

@@GiornoYoshikage if you don't get bald you're doing it wrong

[@vanshajrai6089]

@@tutorialeshtmlprod LMFAO OPM

[@inflexion7798]

@@vanshajrai6089 One Probability Man ?

[@vanshajrai6089]

@@inflexion7798 xD

[@bjpickens1504]

Just wanted to thank you. Anyone learning math needs to watch you. I've watched so many videos, and was still confused. It wasn't till I found your channel that I understood. Math makes sense!

[@mapengbo0314]

trying to find my homework problem solution in this 6 hour video

[@getfucked.3000]

ahhaahhaha

[@mapengbo0314]

@@EdimOmerhodzic-sh6gq still searching

[@marysued2130]

@@mapengbo0314 how bout now?

[@mapengbo0314]

@@marysued2130 FOUND IT 4:55:02

[@marysued2130]

@@mapengbo0314 lmao

[@blackpenredpen]

Time stamps for you guys! Q1. Sum of 1/n, 4:17 Q2. Sum of 1/ln(n), 11:30 Q3. Sum of 1/ln(n^n), 17:23 Q4. Sum of 1/(ln(n))^ln(n), 23:00 Q5. Sum of (-1)^n/arctan(n), 32:04 Q6. Sum of 2^n/(3^n+n^3), 35:47 Q7. Sum of 3^n/(2^n+n^2), 39:01 Q8. Sum of n*sin^2(n)/(n^3+2), 46:17 Q9. Sum of (-1)^n/sqrt(n+1), 49:31 Q10. 1/2-1/3+2/9-4/27+... 55:31 Q10 to Q20. Thanks to "WHY IT" Q11. Sum of (1/sqrt(n)-1/n), 58:21 Q12. Sum of 1/n^2ln(n), 1:03:28 Q13. Sum of 1/sqrt(n)e^sqrt(n), 1:06:54 Q14. Sum of n^n/3^n^2, 1:19:03 Q15. Sum of n^n/(n!)^2, 1:22:06 Q16. Sum of nsin(1/n), 1:28:05 Q17. Sum of 1/(n+3^n), 1:32:09 Q18. Sum of sin(2n)/(n+3^n), 1:34:02 Q19. Sum of n((-1)^n)/(3n+1), 1:36:27 Q20. 1/2+1/6+1/12+1/20... 1:38:28 *HELP ME WITH THE REST! THANK YOU* (I will credit you in my pinned comment)

[@sPaulish]

Lo hiciste de nuevo :0 asombroso

[@whyit487]

Here are the next 10: Q11. Sum of (1/sqrt(n)-1/n), 58:21 Q12. Sum of 1/n^2ln(n), 1:03:28 Q13. Sum of 1/sqrt(n)e^sqrt(n), 1:06:54 Q14. Sum of n^n/3^n^2, 1:19:03 Q15. Sum of n^n/(n!)^2, 1:22:06 Q16. Sum of nsin(1/n), 1:28:05 Q17. Sum of 1/(n+3^n), 1:32:09 Q18. Sum of sin(2n)/(n+3^n), 1:34:02 Q19. Sum of n((-1)^n)/(3n+1), 1:36:27 Q20. 1/2+1/6+1/12+1/20... 1:38:28

[@whyit487]

@@sPaulish ¿Yo se, verdad?

[@blackpenredpen]

@@whyit487 Awesome, thank you!!!!

[@nocturnalvisionmusic]

*this had 100 likes before I liked it ironically* 🤯😳🥳

[@emerald_eyes]

2:26:59 With this kind of series, we can see that 0< 1/n^2 = 1/x, which means it diverges by p test. Since nroot(sin1/x^2) is a greater function, it also diverges. 3:18:00 We can just do the integral test here Here are some easier solutions that I noticed, please correct me if I am wrong. Thank you for this video

[@erdfgdvrefdvewdghebs7520]

Someone: What do you watch on KZbin? Me: It’s complicated

[@blackpenredpen]

Lolll

[@Sndbest]

@@blackpenredpen He makes it easy,so you can simply say...wonderful stuff!

[@zebran4]

I think it is quite easy to answer that question. I would have answered: "Math"

[@covariance5446]

Dude - you are amazing. I have a tremendous amount of respect for you, especially because I just recently started tutoring students in math (all high school math, undergraduate statistics, and now undergraduate calculus). But my god, man, why would you deprive yourself of food/water for six hours?! My throat hurts just thinking about how much talking is involved in this video!

[@blackpenredpen]

Thank you so much for your comment. I run marathons and when I train, I will try to run around 10 miles with no food, no water and no stop! So that's the reason! : )

[@yuanlee3689]

@@blackpenredpen but you wasnt run at this time you were just teaching us and holding your microphone :)

[@tgm3066]

​@@yuanlee3689 two years

[@nocturnalvisionmusic]

@@blackpenredpen whoa didn't know that, nice :)

[@AltamashMusaShaikh]

​@@blackpenredpenThanks for This Video .

[@이하나-c3k1q]

I just watched this during my review for my Calc 2 finals. I understood the how the tests work and how and to what situations they are used through this video more than the notes and lectures in our online zoom classes. Thank you very much. It also was really fun while watching! I hope to see more of this in the future :D

[@jop6388]

What really is impressive is that you keep your smile throughout the whole 6 hours without actually getting tired...

[@amirparsi4165]

Calc-man💪 Also: 6 hours video 6 ads Other youtubers: 10 min video infinite ads!

[@y.z.6517]

Yep, that's how you win customers in business.

[@pawelszewczenko6723]

so then the lenght of the video diverges

[@redweg47]

03:45:48 limit conv. against 585. Thank you so much for your effort ❤

[@spiderjerusalem4009]

He doesn't love math Math loves him

[@blackpenredpen]

Wow! This is such a powerful comment!

[@leonardokeller5254]

true love comes always from both sides... Oh, sorry, wrong context

[@hetaeramancer]

@@blackpenredpen Please do more 100 something. Thank You! Big fan!

[@maxwellsequation4887]

Too good Can't be Math is divine, the only holy thing. You have to be at least Euler or Gauss for that

[@gamingmusicandjokesandabit1240]

@@leonardokeller5254 Were you trying to reference Russian Reversal jokes?

[@sachinshirke388]

That 96 dislikes are from the people having no respect for his hard work. It's a shame for them

[@arnavanand8037]

When someone dislike such a video, it doesn't matter because it's just a sign of mental retardation

[@prateekmourya9567]

Like we cant reduce energy loss to absolutely zero likewise we cant avoid such dislikes but we can supply more energy and use it wisely therefore we must support him always to make those dislikes punny

[@Venom-yj7ls]

@@arnavanand8037 or we don't like math 🤷...I can give my opinion like everybody else

[@shehnazsalahuddin6053]

It's 548 now. I am worried about the future of this world.

[@shehnazsalahuddin6053]

@@Venom-yj7ls That doesn't mean you have to dislike the video! Just ignore it!

[@lil_tistic]

Your humor throughout the video made these series tolerable. Thank you.

[@kanchansrivastava6783]

3:17 - I would finish this in 6 hours maybe. 4:03 - Here we start. 6:03:50 - Finishes last question! Goddamn, how can he be so accurate at time assumptions?!?! TRUE MATHEMATICIAN ;) *GREAT WORK*

[@blackpenredpen]

LOL!! I don't know how either!! : )))))

[@manishachoudhry2785]

Wow....

[@pranavgaikwad9127]

@@blackpenredpen Here's Probability literally ....i think.

[@whyit487]

It's amazing that you got through all of these *_with explanations!_*

[@blackpenredpen]

: )))) Thank you!!!! I want to make this useful to all the calc 2 students.

[@susanseverance5999]

Thank you for the wonderful videos. After teaching junior high and high school mathematics for 40 years, I retired. My need to understand mathematics has never stopped. So I am attempting to relearn the mathematics that I learned in college (I graduated 52 years ago!!) and forgot since I taught nothing above Algebra 2. I am now 74 and taking Calculus 2 so I really need the help that you provide. Thanks again!!

[@acetalks6429]

#BestFriend It was last year when my father was our math teacher in grade 11. I just interrupted him saying: teacher, my father bought me a new calculator yesterday! Then everybody in class started laughing. The teacher (my father) replied: You are so lucky, you have a great dad!

[@blackpenredpen]

Awww : ))))

[@twistedsector]

Yo this dude was flexing his pokeball for 6 hours straight. Whatta legend

[@blackpenredpen]

DiehardTheTryhard thank you!!

[@zhengjason2345]

😂

[@kevinc9059]

its a magic 8 ball uncultured swine

[@erikburzinski8248]

while how else is he going to catch all the integrals

[@cbayoo9405]

Beast mode! I wish you were my Calc 1 teacher. 35 yr old returning to school and you are helping get through it. Thank you very much

[@alexgivens5598]

Just took my cal 2 final. Really makes me appreciate what you’re doing. You are a trooper keep it up my guy

[@blackpenredpen]

Glad to hear!!!

[@chimetimepaprika]

Hahaha, I was like, "You serious, bro?" And then he opened with, "Yes, I'm serious."

[@blackpenredpen]

chimetimepaprika hahaha yes, I am serious!

[@threepointone415]

1:48:59 for number 23, you can say that for all positive x values sin(x)

[@thetedmang]

2:34:50 1/3 is not less than 0, please do entire video over. Kidding aside, thanks for this epic endeavor, you're the hardest working man in the math world.

[@jameswebb3410]

Haha i think he meant it was less than 1

[@sses1894]

Less than 1

[@thetedmang]

@@sses1894 Joke went over both of your heads.

[@sses1894]

😀😀😀 le mje .kaache kaat

[@thetedmang]

@Ice Wizard Sure did.

[@ScottMaday]

This man is unstoppable. He will only quit once he stumbles upon the solution that merges general relativity and quantum mechanics.

[@blackpenredpen]

Scott Maday thanks!

[@blackpenredpen]

That’s tai Lopez!

[@karinamorales1421]

Did this man just say he has haters? Despicable. You keep putting up those absolute value bars my friend, your content is appreciated more then you'll ever know.

[@divyanshmittal1998]

#BestFriend So this happened to me when I was in the 7th grade. My teacher was telling about the shapes and perimeters of different basic shapes like square , rectangle , cube, cone, triangle, etc... A student asked how are they derived. She gave a gr8 explanation for it telling that we take very thin lines of length l and stack them together till the reach the height b and so we get the area to be l*b. It was ammusing. Some years later, when I came to know about calculus , I was amused , that * in essence , she was actually teaching basics of calculus to 13 year olds * ( I know that's an overkill , but can you believe that). It's because of this I love maths (specially calculus) so much . Love your channel You work really hard for this type of content , Keep It Up Love from Indian ♥️🇮🇳🇮🇳

[@blackpenredpen]

Wow and thank you!!

[@namka8588]

Bro can u explain how your teacher was actually teaching basics of calculus through that example? Don't get me wrong. I am just curious.

[@siyayas9134]

Come on dude do us some videos .. ineeed maaatth

[@drpeyam]

Seriesly awesome!!!! 😄 And awwwww, thanks for the shoutout ❤️

[@blackpenredpen]

HAHAHAHAHAH

[@whyit487]

Dr. Peyam Yeah! He led me to your channel a few months ago! Now I'm subscribed to both of you! (Great pun, by the way)

[@blackpenredpen]

whoa~!

[@joryjones6808]

Why It? I didn’t realize you were not Justin Y at first and I was like Justin Y watches call videos.

[@kwirny]

Seriesly the best comment

[@spammusubi1607]

Omg I am so thankful for this channel, 100 guided work along practice problems?? This is gonna be so helpful for my test on friday.

[@pepegominola3804]

1:09:30 blackpenredpen.exe has stopped working

[@abd31308]

thats why i came thx

[@GiornoYoshikage]

Eventually, he stopped thinking

[@vooranitish2992]

U r legend

[@jacopoballarini8927]

@@GiornoYoshikage what a man of culture we have

[@rodwayworkor9202]

bprp.exe not working

[@mihailoopacic3756]

I have this on my exam in a couple days so it is perfect. Thank you very much Steve. Im very grateful for bumping into your channel couple years ago. Every video is so much fun and helpful. 👌😀 Last time I had integrals on my exam and you made a video on 100 integrals...so spot on! Soon i'll be having differencial equations🤟

[@blackpenredpen]

Mihailo Opacic I thought about that... but 100 DE will prob take 10 hours

[@Rxckz69]

imagine learning math for 6 hour in school for just one subject.

[@rkpyi8616]

While you get FREE education on youtube...

[@el_daylan2688]

Argentine students: 😔

[@btt0703]

normal situation in korea

[@hozaingor9731]

Rxckz_школьный курс полностью за не очень много времени? Не удивлён. Не обязательно по одному предмету, есть и другие варианты. Россия 🇷🇺 Урал.

[@hashim6928]

It’s normal for meh 🤷👀

[@josuerojasvega]

I'm just now studying linear algebra, it has helped me a lot to learn the criteria and how to use them. Good job

[@Fastpacer]

Really impressed with your 100 integrals and 100 series in one take. I really enjoy watching and learning from them. Your videos have reinvigorated my interest in math after 20 years of absence. I would really be impressed and appreciative if you did 100 differential equations. It would be valuable for many students to grasp or recap the whole field.

[@blackpenredpen]

Peter Kastrup-Misir thank you!!! 100 differential equations... hmmmm...!

[@blue_blue-1]

Peter Kastrup-Misir, Or instead of 10^2 maybe 2^5 equations.

[@flash2702]

Are you a robot!?🙂 Sir, you are just a true example of dedication,supervision and perseverence!! ❤️ From INDIA

[@briansodie]

I understand none of this yet am still thoroughly entertained.

[@cassied9327]

That’s how I decided I wanted to start studying math🤗 watching videos on KZbin I didn’t understand but was entertained/interested by. Went back to community college and started taking math classes

[@nocturnalvisionmusic]

@@cassied9327 nice 🙂😊

[@TheZw00lenOztrige]

Really glad that i was able to be taught by this man, hes a very kind, funny and knowledgeable professor. If anyone has the opportunity to choose him as their math professor please do it ! Hes your best bet for any math related classes !

[@blackpenredpen]

Gustavo Torres heyyy thank you Gustavo!

[@TheZw00lenOztrige]

blackpenredpen no problem professor 🙂✌🏽

[@TheRubicon515]

Didn't have to leave your channel once to study for my cal 2 test. Thank you!

[@xchelramos1690]

So one time in my AP Calculus class, we were doing Khan Academy for integration. I finished early, and then started to watch some bprp to see his “100 integrations video.” My teacher caught me, and decided to see if we could integrate faster than him. We couldn’t beat him. Not even in groups we could do it as fast. #BestFriends

[@stefan5128]

im so glad that you explain almost every step. i think for someone as talented as you, some things might seem "trivial" but for people like me its sooo helpful!

[@blackpenredpen]

I am glad to hear so! thank you!!!

[@lucassssr]

@@blackpenredpen hey! I would like to hear about you, do you have studies? I Guess yess, but your personal Life! Tell us

[@setter3712]

Did the 6hours to study for a test. Now i feel so confident, thank you so much

[@wholesomehoorpari1971]

Mom : i have a small work for u at home son. Work at home : .....

[@blackpenredpen]

Vaibhav Agarwal Lol

[@ashikashrivas8805]

Bro please do continue making videos in your 100 series...... They Are just something more than amazing. And your accent is very pleasing..... 😁

[@hibaid1424]

his videos made me solve integrals and series in my free time

[@blackpenredpen]

👍

[@rubibhattacharjee8561]

Yupp I saw this entire video....from beginning to end solving each problem....this helped me a lot...I have no words to express my gratitude and no words to appreciate your hard work....took me 3 days ...and that explains how much time and effort it takes for an average individual .....might take up the integral challenge next.

[@farahjoy7006]

Thank you so much! really super super helpful video! your way to explain the exercises it's so clear and easy, i learned a lot from this video! i just finished the whole 6 hours now, actually it took me several days to finish it, so congratulations for doing the 100 series in 6 hours non stop!

[@blackpenredpen]

You're welcome! Great job to you as well!!!

[@mariialeonn]

these are godsend, i always watch ur 100 [calc2] as prep for my midterms 🙏 for mt1 i watched 100 integrals, now for my second one i am here, studying series! thank you so much for all your work :')

[@hauler-hx6gw]

This is how I will study for my Calculus BC AP test next Tuesday. Just an hour a day.

[@blackpenredpen]

nice!!!

[@ryaniii1899]

Lmao good luck 👍

[@jurgentgjeloshaj]

I hope you win the Nobel Price in the future ! You are the best teacher !

[@gianlucaavella4139]

I'm watching the full 6 hours with pausing to prepare for Analysis 1. This video is pure gold :)

[@akreanimated7242]

this is incredibly impressive! how long did it take for you to prepare for this? hope you feel better lars ❤︎ congrats chester!

[@blackpenredpen]

A very long time.

[@arniie5288]

Hi bprp, I just wanted to say thank you for making this video, it helped me so much for my classes. I however, want to mention that at 2:50:00, when doing the telescoping decomposition, you dissmed the 3rd term from the n-1 partial sum, so at the end you would get the 1/2 - 1/2 and 1/4 from the top, and -1/(n+1) + 1/2(n+2) from the bottom, along with the 3rd n-1 term, being 1/2(n+1), which combined with the -1/(n+1) woud give -1/2(n+1). This wouldnt affect the sum as it would still go to 0 when taking the lim as n -> inf, just wanted to make an observation, but regardless, as I mentioned, thank you for this video!!

[@kevinwang7518]

OMG your videos have saved me from my Calculus II class. I just passed my calculus exams with ease. THANK U SO MUCH!

[@anthonym4205]

Just took my Calc 2 final yesterday! wish me luck🙏

[@blackpenredpen]

Anthony M best of luck!

[@rajrajeswaribag9724]

More maths ... more integrals ... .....without food..no water ...no rest..you are nothing but unstoppable 👏👏👍👍👇👇 And I am really a big fan of you Sir 😀⏰🚩✔⛄100/100

[@acoknitteruntemha]

1:34:37 That joke caught me so off guard, you really do enjoy making these videos, I can tell!

[@SergioIggy]

YOU ARE THE BEST PERSON I HAVE EVER KNOWN.

[@untermann322]

This is one of the greatest youtube mathematicians on youtube

[@lorenzomartinelli7665]

I probably won't even watch this whole video, but I dropped a like simply because I myself struggle a lot with series, and seeing this man explaining series for 6 hours is inspirational.

[@jibran8410]

Okay....I know I shouldn't say this cuz I think you're crazy enough to actually do it, but 100 differential equations.

[@muhammadjoshua7464]

You guys gonna kill him with that

[@akilimali8726]

Nonlinear PDE's.

[@orcishh]

100 single-digit addition problems

[@rodwayworkor9202]

@@orcishh You're Orcishist

[@professionalbiologist7108]

Differential equations is literally easier than series. BRuh/OOAf

[@mohamedtlili334]

#BestFriend I guess my favorite memory in a math class this semester is when I got to teach a whole group of students for a day. So my Honors Math teacher knows I take AP Calculus, so one day he told me to solve the question on the whiteboard. It was a difficult Integration by Parts question but I did it,nevertheless, and he was like “Okay you can continue teaching the class for today.” and I had the best time teaching the students new topics in Calculus they never have heard of. I enjoyed seeing their interest when I showed them some cool stuff concerning series. I guess this experience is so special because i already applies for an Education degree to become a Math teacher, and this experience made me even more excited to teach, and learn math in college.

[@blackpenredpen]

Oh wow, very nice!

[@Motivationforlife-c6q]

Toughest teacher in the planet God bless you 🙏

[@Loading1383]

Thankssss for putting effort and time to explain these for students in need. You deserve the worldddddd. God bless youuuu

[@blackpenredpen]

Happy to help!

[@seulementBrianna]

lmao I am embarrassed and ashamed I came here thinking this was some type of Netflix challenge. Now if you'll excuse me...

[@boaz7028]

i thought the same lol

[@reengaesh7545]

😂😂😂😂😂

[@cassied9327]

😂 I’m dying. You came for the Netflix, did you stay for the math?

[@palebluedot8733]

Lmao

[@juandaviduribe8267]

I just finished doing all of them alongside you. Love you Mr. blackpenredpen

[@martinjaramillo3314]

Thanks a lot blackpenredpen, you've been a great help to me with all your videos. I'm currently taking an intensive course for calc 2, and your video have pretty much saved me all the time. Tomorrow I have my final and I don't need a grade in order to pass. Thanks a bunch and stay awesome.

[@rizkial5221]

when u enjoy what u do you will not remember time

[@blackpenredpen]

very true!!!!

[@EnOmY-kj4wh]

You 're one of the best teachers who I 've ever seen. I 've also subscribed your channel. Love from Bangladesh 🇧🇩🇧🇩🇧🇩🇧🇩🇧🇩🇧🇩

[@EnOmY-kj4wh]

@S H A K I B You 🥰🤪🥰🥰🥰🥰

[@HVH_49]

Damn breaking records left and right! Keep it up! Your channel will be legendary among the Maths Channel on KZbin

[@blackpenredpen]

Jalu Reswara hahaha thanks!!

[@ramsayjohn]

Any person records over 3 hours. *Comments:* Imagine if he/she forgot to press record button.

[@IstigfarTahajjudDarudrMiracle]

Finally I've got my Favourite derivative series by searching on KZbin from BD🇧🇩💓💓😊

[@bylebree4842]

1 ad per hour, perfectly balanced as all things should be

[@anzudemdre1311]

Ok KZbin Recommendations, I will watch some random guy calculating for 6 hours straight,

[@Cauu69]

I don't know shit of what's going on, but his passion made me watch the video. It's so entertaining!

[@happyjohn1656]

He needs credit for holding on to that bal- microphone* the entire time 9:41 PM 6/20/2019

[@blackpenredpen]

Happy John fo sho!

[@happyjohn1656]

@@blackpenredpen ♥️ 7:54 AM 6/22/2019 11k BTC

[@MinecraftPlayer-tl5lx]

@@happyjohn1656 why does it say time 2:18 AM 11/2/2020

[@sunilparekh4581]

@@MinecraftPlayer-tl5lx lol watching in lockdown again 6:18Am 5/11/2020

[@pbj4184]

@@sunilparekh4581 Are you writing the time manually?

[@t-KUN]

La campana de la escuela: suena El profesor: esperen, una cosa más. El profe:

[@user-fo3yl1of1z]

XD

[@lamborghiniaventador8670]

Thank you so much sia, can't even watch 10 minutes with no water. Hats off to you lah.

[@blackpenredpen]

Try my “all-in-one” calculus problem 👉 kzbin.info/www/bejne/aaSUiIyLjL54gbc

[@idaidhut1054]

thn8u7 xl0

[@FareSkwareGamesFSG]

#BestFriend Once in my 8th grade trig. class, a decent friend of mine asked the teacher to use the restroom. The teacher, thinking it was the usual excuse to ditch the class, rejcted his wishes. That was when he told us that he would pee in the recycling bin if our teacher didn't let him leave to go to the restroom. Now, I must add that our 8 grade trig. teacher was a little hard of hearing, so when my friend got up to pee in the recycling bin in front of the whole class, she didn't realize what he was doing for a good 5 seconds. The whole class went berserk after he finished. He got a B- in math that year.

[@StephenHsiang]

Finished, what a marathon. Thanks. Q101. if the we switch 3 with 2, the final ratio would be 2/e, which is less than 1. So, it would converge.

[@blackpenredpen]

Awesome and yup!!!

[@ignaciofalugue161]

me: i'll go to sleep early this time youtube algorithm: NO

[@San-kq1ss]

best way to study for a final, thanks for the video! Hopefully something similar appears on my final!

[@farescasillasprasojo1125]

Iʻm 8th grade and 12 years old, thank you blackpenredpen for teaching me calculus!

[@Linscord]

Did I just watch a 6 hour lecture on calculus even though I have no clue what’s going on? Yes, yes I did.

[@slothFPV]

Because ln1 =0, giving 1/0 as the first term which is undefined

[@shortpodcasts55]

My man stood up straight writing things and holding a mic for 6 hours, respect.

[@innertubez]

Be careful, bro. You might hurt yourself.

[@Error-500]

Excellent explanations ❤ I'm studying physics and this is gold

[@vautierpascal9905]

The level of dedication here is out of this world

[@cheekers4445]

Can we just appreciate how he could talk to the camera 6 freaking hours straight 😱

[@ApiolJoe]

Not that hard: A camera might have more soul than students at 8am a friday morning :D