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.

- 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.

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