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

Extreme calculus tutorial video on how to do infinite series convergence tests. You will learn all types of convergence tests, including direct comparison, telescoping series, limit comparison test, ratio test, root test, p-series, geometric series, and more! Best wishes for your Calculus 2 class! 100 Calculus 2 Problems 👉 https://youtu.be/Kwyk_mteyNc Get a Convergence t-shirt: 👉 https://www.amazon.com/dp/B0C54H5TZV Try the problems first: 👉 https://www.patreon.com/posts/files-to-my-100-95153770? *mistakes* Thanks to several viewers, at Q25, 1:53:40 , n should go from "2" to inf. And in that case, cos(pi*n) will produce 1,-1,1,-1,... but it is still a convergent alternating series. Thanks to Chester, at 2:34:35, I meant to say 1/3 is less than "1", not 0. So we can draw a conclusion from the Ratio Test. Thanks to Alberto! At 4:52:58 the final answer should be x is less than “-1” Highlights: (see pinned comment for ALL timestamps) start: 0:00 1, Classic proof that the series of 1/n diverges, 4:17 2, series of 1/ln(n) by The List, 11:10 3, series of 1/(ln(n^n)) by Integral Test, 17:05 4, Sum of 1/(ln(n))^ln(n) by Direct Comparison Test, 22:45 9, Sum of (-1)^n/sqrt(n+1) by Alternating Series Test, 49:10 15, Sum of n^n/(n!)^2 by Ratio Test, 1:22:20 16, Sum of n*sin(1/n) by Test for Divergence from The Limit, 1:28:04 26, Sum of (2n+1)^n/n^(2n) by Root Test, 1:58:11 30, Sum of n/2^n, 2:10:40 32, Sum of 1/n^(1+1/n), 2:22:30 41 to 49, true/false: 2:52:58 90, Sum of (-1)^n/n! = 1/e by Power Series, 5:24:40 100, Alternating Harmonic Series 1-1/2+1/3-1/4+1/5-... converges to ln(2) by Power Series, 5:54:40 101, Series of 3^n*n!/n^n by Ratio Test, 6:00:00 #100series #calculus #satisfying #apcalculus #gcse May 6th, 2019