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April 21, 2014

Homework Help: Calc II

Posted by Lauren on Wednesday, November 7, 2012 at 3:24pm.

Use the comparison or limit comparison test to decide if the following series converge.
Series from n=1 to infinity of (4-sin n) / ((n^2)+1) and the series from n=1 to infinity of (4-sin n) / ((2^n) +1).
For each series which converges, give an approximation of its sum, together with an error estimate, as follows. First calculate the sum s5 of the first 5 terms, then estimate the "tail" the sum from n=6 to infinity of an, by comparing it with an appropriate improper integral or geometric series.

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