[tex](adsbygoogle = window.adsbygoogle || []).push({});

\sum_{n=1}^\infty \frac{cos n}{n^2}

[/tex]

Now, which test should i try? It doesn't appear to be anything straightforward like ratio test, comparison test etc and it's not a straightforward limit.

cos(n) goes negative too, so that complicates things.

Can anyone offer me any advice on a problem like this? Thanks!

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# Testing convergence of a series

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