Use the comparison or limit comparison test to decide if the following series converge.

Question

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.

Answer 1

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

Answer 2

someone help!!!!

Answer 3

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

Answer 4

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

Answer 5

through the comparison test

Answer 6

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