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dmcmu

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## Homework Statement

Determine whether the series [3+cos(n)]/n from n=1 to infinity is convergent or divergent. Explain your reasoning and demonstrate that any conditions required to use a particular test are satisfied.

## Homework Equations

Any series tests: ratio test, alternating sequence test

## The Attempt at a Solution

After writing out the first few terms I believe that the series is alternating and converging, however I can't seem to find out how to convert this into the form of an alternating series to be able to perform the alternating series test. I know there is a way to use power series to convert cosine to a series form but I believe this question is meant to be done without power series. Thanks in advance.