100 series convergence tests, calculus 2
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Check out my other “100-everything“ series:
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100 Calculus 2 Problems:
*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 sum of 1/n diverges, 4:17
2, Sum of 1/ln(n) by The List, 11:10
3, Sum 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
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