Calc II

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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 -

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

  • Calc II -

    someone help!!!!

  • Calc II -

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

  • Calc II -

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

  • Calc II -

    through the comparison test

  • Calc II -

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

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