Convergence and Divergence: The Return of Sequences and Series

We learned a little bit about sequences and series earlier in the mathematics course, but now its time to work with these some more, now that we understand calculus! First up, what does it mean for a sequence or series to be convergent or divergent, and how can we tell which one it is? Let's find out!

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[emmaell]

Your voice is so clear and stress-relievingly good to hear.

[mathew_pang]

at 8:50 why that sum will be divergent ? i thought it will converge to 1/5?

[mainulislam]

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 .

[saeedahmed-]

I had a problem all during my semester in this concept.. but now it's so clear !
I can't thank u more man :)

[harismasoom]

PROFESSOR you explained it so beautifully.
Thanks.

[samitkumar]

Just the type of explanation I was looking for. Perfectly explained.

[Sarah-recg]

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.

[Kiky_MedPhysicist]

Thank you sir for your dedication and for making this free! 🙏

[debajyotisarkar]

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.

[supreethmv]

1:16
This seems like a divergent series but actually is convergent. There are some simple and complex proofs to show that -1/12.
This is same as Riemann zeta function for -1.

[annaV]

Thank you for this video, it has lifted up some uncertainties.

[AnAzsproduction]

Thank you for giving that example! I would love to see some more as you continue to do these videos

[geektoys]

This man can explain a 3 month university subject in 10
Minutes

[riyabiswas]

Thankyou sir for such a simplified explanation.

[ClumpypooCP]

"let's converge a little"

[jawwadshahed]

Very good explanation. Thank you so much for all your nice demonstration.

[jamvibes]

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.

[davideveringham]

(6:35): for r=-1, the terms are a, -a, a, -a, a, -a… .

[iyasuwalalign]

how could i explain my love to this wonderful man

[AlessandroZir]

thanks, man!! really clear and useful, and also insightful; ❤️❤️