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 (4sin n) / ((n^2)+1) and the series from n=1 to infinity of (4sin 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.

Calc II  Lauren, Wednesday, November 7, 2012 at 7:49pm
Can anyone just give me an idea on how to go about solving this problem

Calc II  Anonymous, Wednesday, November 7, 2012 at 9:25pm
someone help!!!!

Calc II  Anonymous, Wednesday, November 7, 2012 at 10:26pm
i know they are both convergent but idk how to do the second part of the problem

Calc II  Anonymous, Wednesday, November 7, 2012 at 11:49pm
How'd you find out that they're both convergent?

Calc II  Anonymous, Thursday, November 8, 2012 at 12:46am
through the comparison test

Calc II  oci, Thursday, November 8, 2012 at 10:27am
hey lauren did you find anything? im still lost. please help me if you find the answer.