Calc II
posted by Lauren on .
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.

Can anyone just give me an idea on how to go about solving this problem

someone help!!!!

i know they are both convergent but idk how to do the second part of the problem

How'd you find out that they're both convergent?

through the comparison test

hey lauren did you find anything? im still lost. please help me if you find the answer.