Asked by Lauren
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.
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.
Answers
Answered by
Lauren
Can anyone just give me an idea on how to go about solving this problem
Answered by
Anonymous
someone help!!!!
Answered by
Anonymous
i know they are both convergent but idk how to do the second part of the problem
Answered by
Anonymous
How'd you find out that they're both convergent?
Answered by
Anonymous
through the comparison test
Answered by
oci
hey lauren did you find anything? im still lost. please help me if you find the answer.
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