Your voice is so clear and stress-relievingly good to hear.
@mainulislam67653 жыл бұрын
Professor Dave I just came across your video and I want to express my appreciation at the very clear presentation of the concepts; not only are the slides very clear, you speak with a certain clarity which is rare to come by in a mathematics tutorial. Thank you .
@mathew_pang3 жыл бұрын
at 8:50 why that sum will be divergent ? i thought it will converge to 1/5?
@IslamicLifestylevibess3 жыл бұрын
same here
@Vinickw5 ай бұрын
This is the limit of the sequence, not the series. It means that for a very big _n,_ the sequence will be approximately {...1/5, 1/5, 1/5...}, and adding infinitely many 1/5 will result in infinity.
@random6033Ай бұрын
the sequence converges to 1/5 so the sum isn't finite EDIT: wait that comment is old
@saeedahmed-9290 Жыл бұрын
I had a problem all during my semester in this concept.. but now it's so clear ! I can't thank u more man :)
@calculus8399 Жыл бұрын
@@jonathanlimjun6238 what do you know about convergence
@harismasoom66343 жыл бұрын
PROFESSOR you explained it so beautifully. Thanks.
@samitkumar11703 жыл бұрын
Just the type of explanation I was looking for. Perfectly explained.
@supreethmv2 жыл бұрын
1:16 This seems like a divergent series but actually is convergent. There are some simple and complex proofs to show that 1+2+3+.....= -1/12. This is same as Riemann zeta function for -1.
@debajyotisarkar11453 жыл бұрын
Thanks professor Daves. This video really helped me in understanding the basics of convergent and divergent series. And , I would also like to place a demand for a video on Maclaurain's series.
@ProfessorDaveExplains3 жыл бұрын
I did that too, check the mathematics playlist!
@Sarah-re7cg2 жыл бұрын
Omg, thank you so much. This video really helped bridge the gap between all this information and how it works together. Before, it was like a jumbled mess in my head.
@Sarah-re7cg Жыл бұрын
@@jonathanlimjun6238 yeah, professor Dave is really great at explaining topics in a much more coherent and intuitive way
@Kiky_MedPhysicist3 ай бұрын
Thank you sir for your dedication and for making this free! 🙏
@AnAzsproduction5 жыл бұрын
Thank you for giving that example! I would love to see some more as you continue to do these videos
@davideveringham38274 жыл бұрын
(6:35): for r=-1, the terms are a,-a, a,-a, a,-a… .
@duelingo87313 ай бұрын
you reduce my stress levels by 10000%
@annaV5132 жыл бұрын
Thank you for this video, it has lifted up some uncertainties.
@jamvibes35506 жыл бұрын
Hi prof dave, your channel helped me a lot in my study. I humbly for a request a video explaining the fourier series. I will wait for it. Thank you so much.
@32_gurjotsingh824 жыл бұрын
refer to 3b1b video on fouries series...
@riyabiswas9064 жыл бұрын
Thankyou sir for such a simplified explanation.
@sachinrajpandey52422 жыл бұрын
When the limit of a sequence is zero then the corresponding series will be convergent and when the limit of a sequence gives some constant value L then the sequence is convergent. Is this right? Please correct me.
@jawwadshahed3 жыл бұрын
Very good explanation. Thank you so much for all your nice demonstration.
@antonioochoa2673 Жыл бұрын
you're a goat for this video bro, respect g
@iyasuwalalign28606 ай бұрын
how could i explain my love to this wonderful man
@TheBluePhoenix0088 ай бұрын
you gotta do more of these man
@Has_Chemist2.0 Жыл бұрын
How can math be amazing like this 😍
@AlessandroZir2 жыл бұрын
thanks, man!! really clear and useful, and also insightful; ❤️❤️
@geektoys370 Жыл бұрын
This man can explain a 3 month university subject in 10 Minutes
@salaa234 жыл бұрын
Pirates if they give up Piracy and go to the Caribbean University 6:05
@hailabseyoum57462 жыл бұрын
great lecture! Thank you professor a lot!
@angadthandi2281 Жыл бұрын
@@jonathanlimjun6238 Nice bot
@ClumpypooCP6 жыл бұрын
"let's converge a little"
@juraijbinjamal53134 жыл бұрын
Good one
@f3ralp1g3on64 жыл бұрын
converge me daddy UwU
@The-Cookie2 жыл бұрын
@@f3ralp1g3on6 ayo- 🤨🤚
@GodbornNoven2 жыл бұрын
Then series diverge when they sum constants and ever increasing values and converge when they sum ever decreasing values? really simple and good explanation!
@vianekabanda83482 жыл бұрын
This professor is good. I like this video
@nnofficial24147 ай бұрын
It was a good revision! Great job 👏
@katunduchabala72662 жыл бұрын
Thanks for the video. This has made me understand a lot of things I have been missing. Good work!
@chaosend38155 жыл бұрын
Great video! your explanation is very easy to understand
@zeinebkefeya19462 жыл бұрын
Perfectly explainedd🔥
@pluto43013 жыл бұрын
0:50 bold of you to assume that 😅
@johnholme78310 ай бұрын
Crystal clear! Thank you!
@niekbeijloos8355 Жыл бұрын
Very clear explanation, thanks!
@jontedeakin19863 жыл бұрын
whats the name of the theorem at 7:17?
@nelayapu57895 жыл бұрын
thank you very much sir....this concept is clear to me now
@curtpiazza16883 жыл бұрын
Wow ....its all coming back to me!!
@TheBrammiej6 жыл бұрын
Hey Dave. Would you consider following up this course with a linear algebra course? All the best, Bram
@ProfessorDaveExplains6 жыл бұрын
don't worry, linear algebra is coming! i already filmed some of it.
@TheBrammiej6 жыл бұрын
Professor Dave Explains Hugs!
@ericard41656 жыл бұрын
Like your animations
@MathCuriousity6 ай бұрын
Would someone mind explaining why it is that every power series is a Taylor series? (I know every Taylor series is a power series but I’m wondering why the reverse is true - and without invoking heavy analysis stuff)!
@إيمانإيمان-ف4ي3 жыл бұрын
Excellent explanation
@douglasposho92993 жыл бұрын
Thanks for the knowledge you have shared with me.
@ECEAbhishekKumar3 жыл бұрын
Thank you 😊👍 so much from India.
@ckarcher4504 Жыл бұрын
7:05 how to get that answer?
@beetaff78412 жыл бұрын
Sir , limit of1/n is zero still series is divergent this theorem goes wrong in this case is it exception ??????? Pls reply sir
@nononnomonohjghdgdshrsrhsjgd3 жыл бұрын
i like everything in the way how you explain!
@MissOk7772 жыл бұрын
Great explanation !
@shankarabhat75056 жыл бұрын
Hey can a convergent sequence have an answer which is a complex number...as n approaches infinity
@ProfessorDaveExplains6 жыл бұрын
hmm yes i believe so, at least definitely if there are complex numbers in the sequence!
@noahgsolomon Жыл бұрын
He knows a lot about all kinds of stuff
@Oscar-gx2yf5 жыл бұрын
Thank you Lord Farquad you are the best!
@leejunzhao Жыл бұрын
2:54 the sequences should start from 1
@samjames12534 жыл бұрын
Thank you so much!!!
@julytdalida48603 жыл бұрын
Is it possible for a sequence with two different numbers to converge?
@JoanKemon Жыл бұрын
THANK YOU SO MUCH
@irfankadem36282 жыл бұрын
GREAT WORK KEEP UP!
@nweniaung96212 жыл бұрын
Thank.You Professor
@sidharthmohanty64345 жыл бұрын
Thanks loved it.
@nabanitagoswami66525 жыл бұрын
You are very helpful 😄😄❤️....
@rinr330010 ай бұрын
I don't get it because at the beginning he said that if it gets to a finite number it is convergent and in the end when he gets1/5 he said it is divergent ;-; please somebody help me
@Attalla-t9b6 ай бұрын
In the beginning, he was talking about sequence. At the end, he was talking about series (It seems like they have different criteria for divergence/convergence)
@reengaesh75454 жыл бұрын
Thanks so much 🙏🏼🙏🏼🙏🏼I have understood a lot 😊
@fernanmontevista2043 жыл бұрын
Hi prof Dave .do you have videos about Taylor and Mclaurin series.Thank you.
@ProfessorDaveExplains3 жыл бұрын
Yep!
@MimiMimi-ss7jk4 жыл бұрын
Thaaaaanks a lot🙏Finally,I understood!
@AhmadShah-oz5wuАй бұрын
Love from Pakistan, Taxila Sir ❤❤
@Ashish-hl7rk2 жыл бұрын
so if the resulting series is zero it is convergent?
@KamalCabdinasirАй бұрын
Yes
@sandeepanpoddercse38193 жыл бұрын
thanks sir
@mahinduliyanage15835 жыл бұрын
Pro Dave u are the best........................!!!!!!!!!!!!!
@TheIronLife4 жыл бұрын
This helped me with my Alevel
@niaala5 жыл бұрын
Thank you so much.really helpful
@fishlasagna73685 жыл бұрын
Thank you 🙏🙏🙏
@courageandpeace19445 жыл бұрын
love from India
@sedeqalsakkf93154 жыл бұрын
I confused how lim of 1/2^n = 1 . I thought it should be 0. becz 1/inf = 0.
@RickyRicheRebelle4 жыл бұрын
he just said in the video clearly that if a sequence converges to 0 as it approaches its infinite-th term, the series that the sequence generates would have a finite number limite. i think u're mixing up sequence and series, which is the first thing he stated in the video
@мир-н3л4х Жыл бұрын
which playlist is this video in?????
@ProfessorDaveExplains Жыл бұрын
math
@user-cr8bd9qk1r6 жыл бұрын
Very very helpful!!!!! Thanks!!!!!!
@harrisonbennett71226 жыл бұрын
Thank you
@jamebello98695 жыл бұрын
so helpful
@ericard41656 жыл бұрын
Hey professor Dave, what else after calculus in this course
@ProfessorDaveExplains6 жыл бұрын
linear algebra! and then hopefully differential equations.
@ericard41656 жыл бұрын
thanks they're really helpful
@thestar001Official3 жыл бұрын
I lost it at "In fact,..." 7:10 😪
@shahrukhkhanshahrukh35044 жыл бұрын
great man
@joongi98394 жыл бұрын
I needed help on precalc 20 and it started talking about integrals and limits 😥😥
@ProfessorDaveExplains4 жыл бұрын
i have a tutorial earlier in my mathematics playlist on sequences and series, that's probably the one you're looking for. just go to the long playlist, it's somewhere in the 80s i think.
@sanjaycosmos96794 жыл бұрын
4:37 .1+2+3+....=-1/12 ...ramanujuan....
@SurajSharma-pv3di4 жыл бұрын
It is a special case for a special type of function. You will get zero no. If you write this in your exam
@scptime11883 жыл бұрын
Only using analytic continuation on a different function (continued riemman zeta function) that is closely related to but not interchangeable with that sum. The function that gives you that sum (riemman zeta function) only works for inputs with a real part greatrr than one. The RZ function breaks when you get smaller than one. But if you "continue" the riemman zeta function throughout the complex plane (ensuring it is analytically continued), when you plug in (-1), which using the non-continued riemman zeta function (∑«n=1→∞» (1/n^s) for varying values of s) would blow up to infinity, you get (-1/12). So there is a sense in which the sum you get from the non continued RZ function, 1+2+3+4... also equals (-1/12).
@robel_asefa2 ай бұрын
👏 great
@thisisnyx2 жыл бұрын
This Math Is Worse Than Programming.... My Head Is About To Explode
@raghavtandon80336 жыл бұрын
Ty for making me understand bro
@wjrasmussen6664 жыл бұрын
If you are going to reference previous tutorials, a link in the comments would be good.
@ProfessorDaveExplains4 жыл бұрын
just go to my mathematics playlist, also i usually link using cards in the top right
@Jillybeanz20077 ай бұрын
🙏🏻 🙏🏻 🙏🏻
@imbreakingdown26833 жыл бұрын
2:17 Why Am I laughing so hard
@Bhanuday-pp1dj4 ай бұрын
Love from india
@jah_1413 ай бұрын
this stuff is confusing idk if i can do it man but i have to for school
@murphy6177 Жыл бұрын
来自华东地区某211高校,看完这个视频才知道国内高数老师是什么东西😅
@koamivikeledome Жыл бұрын
🙏
@cavendis34235 жыл бұрын
nice
@adventuresofgaara89363 жыл бұрын
I'm here from FLVS (Florida Virtual School) and I would like to say Big Chungus Funny.
@ccbgaming69942 жыл бұрын
First equation = -1/12 ;)
@umararshad95673 жыл бұрын
convergent = limit does not exist
@hammadullahshaikh4735 Жыл бұрын
❤
@gautamchettiar41505 жыл бұрын
wasn't it -1/12
@wolframalpha86345 жыл бұрын
The sum of all *n* natural numbers is a diverging series coz it doesn't approach any sensible value , try substituting as n→∞ in the formula n(n+1)/2 , -1/12 isn't the true sum coz this result can't be verified using the convergence and divergence test!
@gautamchettiar41505 жыл бұрын
@@wolframalpha8634 the result can't be found as addition doesn't happen assuming a linear number line (well I know line is linear , dunno how else to put it in words) . And also he did put n as infinite and write sum as infinite so.... Btw thx
@wolframalpha86345 жыл бұрын
@@gautamchettiar4150 uhmm.. I didn't understand about addition on a linear number line?
@gautamchettiar41505 жыл бұрын
@@wolframalpha8634 you can understand it on 3b1b channel's video