Convergence and Divergence - Introduction to Series

[@TheOrganicChemistryTutor]

Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzbin.info/www/bejne/pHTCeohnft-tiZY

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[@BigCatSoftware]

You helped me pass Calc II in 8 weeks this summer with a 90 on my final and a 90 as my grade. I got a 96 in Calc I before that with your help. Now I have Calc III this fall and I’m thinking I’m gonna be doing better than this past summer. Thank you so much OCT!

[@andrean40]

Hows Calc 3 compared to Calc 2?

[@BigCatSoftware]

@@andrean40 my school is a little weird and has Calc split into 4 parts. Our 3 consists mostly of series and sequences. After Taylor series it moved to 3D graphs and functions. From here I’m not sure what’s next. But in 4 I know it focuses all on multi variable calculus. So I guess 3 will stop right before that. Hopefully this makes sense and is helpful.

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Awww I'm so proud of you

[@danilojonic]

Cool, I have all that (except multivariable and double integrals) in one subject + theory (real analysis). I am cooked...

[@tommydennen9563]

God I wish all teachers could make content as confident and straightforward as you are able to do. thank you!

[@EldenEngineer]

A lot of my early confusion with this section of calc 2 is just vocab and over complicated notation. Thanks for helping me get that stuff straight. It starts to make sense with time and rewatching these videos.

[@Carrymejane]

Huh it's calc 2? 😮

[@EldenEngineer]

@@Carrymejane what do you mean?

[@mondotrombo7167]

im learning this in precalc rn @@EldenEngineer

[@imCyanne]

@@EldenEngineer For some of us, this is calc 3 material

[@EldenEngineer]

@@imCyanne That's cool

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Hallelujah

[@sticraft41]

This is the most important and clarifying point I believe, at 13:05 when you state that the sequence converges, but the series diverges. Thank you for these videos and explanations.

[@Altair4611]

Knowing the difference between series and sequence is crucial

[@hsienkangliu1436]

yeah the 13:14 stuff confused me for a while

[@maalikserebryakov]

Thats like saying knowing the difference between definite integrals and functions is crucial…well yes? Its important to know what words mean. 🤓🤓🤓

[@user-fh2rw9zh8g]

What's the difference?

[@luisdmarinborgos9497]

And the sequence of partial sums

[@The_Average_Ragebait_Borutard]

@@maalikserebryakovDude, long time no see. Also, Base Boruto > All of Shippuden. 😂💪

[@georgesadler7830]

Professor Organic Chemistry Tutor, thank you once again for another fantastic video/lecture on Convergence and Divergence of a Series in Calculus Two. This is a large topic in Calculus and students will have problems with understanding these concepts. This is an error free video/lecture on KZbin TV with the Organic Chemistry Tutor.

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I have nothing to thank you but just wanna say God will continue to bless you and your family ❤

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Ohh my goddd just finished this topic in college and needed this so much😭😁😁😁

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[@var1232]

Bruh how tf u doing this in college when I'm doing this shit in highschool

[@yashifornow]

@@var1232 😂 different syllabus I guess we did basics of this in high school 😂 now it's more advanced

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@@sarah.moh22 please stop being cringe

[@chrisp2639]

Finishing Calc 2 right now and your videos have helped so much. I especially appreciate the emphasis on the difference between the finite sequence and the infinite series in the last couple problems.

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Early too iam subscribed to this channel and I do not even study any of these just like the channel it's very good😀

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Ur watching calc vids for fun?

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man is there anything that you dont have a video on? at this stage im going to get an engineering degree from the organic chemistry tutor university not from my actual uni. you saved me many times and i thank you every time. YOU ARE THE BEST!!!

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Hello

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i go to berkeley and half the class learns from this dude instead of the lecturers 💀

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I just hope you never quit KZbin

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Shame on the guy who disliked in the first 30 seconds

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It was a tenured professor who doesn't like how his students prefer this guy's videos to his dull lectures in which he narrates the chapters from Cenage.

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[@oentrepreneur]

I don't see any dislike on this video. But if what you're saying is true, then whoever disliked this video probably didn't like long form content. Because he has the attention span of a goldfish

[@oentrepreneur]

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youre a hero for saving all these people's grades!!! tysm!

[@ProfessionalGasLighting]

I love all your videos! I would definitely love to see more of these Calc and Calc 2 videos! I’m currently in Calc 2 and seeing how you work through different examples definitely helps me learn how to apply those thought processes to my own problems! But I definitely need more series and sequence videos! Even if they’re just working through more complicated examples so I know how to use the limit comparison test to a p series and how to know which test to use etc!

[@mondotrombo7167]

negawatt isnt this precalc

[@prabhanjanbag5738]

So many years back, I studied it in my college days. For Maths. lovers it is interesting. But I found it is equally interesting even for a layman for the way you are teaching. Thank you for explaining the basic concept of limit and infinity in a simple way.

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Sir Julio Gonzales thanks for the help you offer us , this showed up on my F.maths test and i hit it real bad.. Your such help to me since high school .. Hope to meet you someday.

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This guy has videos of almost every mathematical concept on earth

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Bro Saving me from the traps of Calculus! Thank You.

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The topics became easy when you teach ..So please make video related to line integral and Green's Theorem. Thank youu.

[@በእንተክህነት]

i really donot know with what word must i express my great respect and thanks for you.you are real mathematician

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Egziabeher Ymassgan

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He's been saving my gpa for like 3 years

[@Bugatti0wner]

I wouldn't be surprised if a Harvard prof. recommends this channel to the students.

[@prathikkannan3324]

Na not rly, This is just a very non-rigorous application of series. His videos are generally just teaching rules to memorize, rather than shedding intuition and light. No hate against him, he is still helping loads of people, but at a Harvard level u would be rly concerned about making this stuff rly rigorous.

[@lybittaye]

Best presentations in mathematics ever 'no joke' ,great videos, keep it up sir...

[@declancampbell848]

Perfect timing as I needed to review these

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The problem I was looking for is advertised on the youtube search in this video but here its accessible only on patreon. First time this guy has let me down.

[@smitad7881]

A huge thank you. This was confusing before I chanced upon your video.

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You're the teaching GOAT

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[@ChristinaWahlquist-h5z]

Once again, thank you! Your videos have helped me maintain an A in calc II

[@LinY-vs4dv]

the Organic Chemistry tutor saving my calculus grade

[@kevinsolie2208]

Thanks!

[@samiabegum4607]

Helped me understand in less than 20 mintues while my professor couldnt in over an hour. Thank You!!!

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I really do enjoy these videos and has truly helped a lot. But because of your accent sometimes it is tough for me as a non-native English speaker to understand what you are trying to convey.

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this was uploaded on my b-day :D

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Studying this for my exam. - Nieto, Desiree Ann B. BSECE 2B

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My instructor waited until after withdrawal date to totally drop the ball on teaching. Thanks for this

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Every Time every....... Timeeeeeee Thank You 🥺❤️

[@teamstudent4555]

13.15 L'Hopital rule also yields the same result:5/7

[@dabeeramir1407]

You just saved me, thank you so much

[@nicolejones3686]

Thanks for your help 😊

[@nurul5971]

thank you very much sirr!! i cant focus during the whole week of this chapter bcs of test of other subjects... but u saved me!!!

[@nihatdonmezov8354]

Please, make more videos on Series

[@nyunai298]

Thanks. More convergence tests on series an sequences please

[@josephtetteh8493]

Wow, everything is clear. Thanks Sir

[@ddee_6234]

i do wish you were my college maths professor.

[@Elicruz2]

13:08 is exactly what I needed to hear. I was confused and thought that in converged because it had a finite number but that's only for the sequence.

[@xinpingdonohoe3978]

If the limit at ∞ doesn't equal 0, like here it equals 5/7, then the series is going to be around ∞×5/7, because after while an≈5/7, and there are still an infinite number of terms left. Only ∞×0 is not always going to diverge, which is why the limit at ∞ must be 0.

[@chrislee7325]

Finally understanding what is the meaning of converge and diverge lol

[@ashwinkotha3388]

00:01 Learn how to determine if a series converges or diverges 02:05 Determining if a series converges or diverges 04:19 Determining convergence or divergence of infinite series 06:15 The series diverges 08:20 The divergence test is a quick way to determine if a series diverges or not. 10:26 The series is divergent using the divergence test. 12:36 The series diverges according to the divergence test. 14:29 For a series to converge, the limit as n approaches infinity for a sub n must be equal to zero. Crafted by Merlin AI.

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Great explanation☺

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Thank you 🥹

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Not me tryna understand Gojo's limitless

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WE!

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Thank you

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[@volvelily3656]

Helped a lot thanks so much

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GOD BLESS YOU MAN

[@anelisriano9203]

Why did you multiple the top and bottom by 1/n?

[@venj251]

he multiplied the top and bottom by 1/n to evaluate the limit. If you just plugged in infinity for n it would be inf/inf so you have to algebraically manipulate the expression. could also use L’hopitals and come up with the same answer

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Make videos on divergence, Stokes', greens theorem

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cant wait to just pass this class. i know calc 3 is easier, i mean calc isnt hard, but im taking a summer class so im grinding tf outta this class i just need a B. im taking 4 fucking classes FML

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Me before watching this video: I dont get shit about when a series converges Me after watching this video: ... Thats it? THATS IT?! seriously, your explainations are so damn good. You're my savior

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