Is the series $\sum_{n=1}^\infty n^{-1-|\!\sin n|}$convergent?

Asked May 30 '13 at 11:31

Active May 30 '13 at 11:36

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As in the title, is the series $$ \sum_{n=1}^{+\infty}\frac{1}{n^{1+|\!\sin(n)|}} $$ convergent or not? This is a variant of a simpler exercise in a first year curse in analysis, so I don't know if there is a simple answer (in any case wasn't able to find one).

Thank you!

edited May 30 '13 at 11:36

Lord_Farin

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asked May 30 '13 at 11:31

user29372

Sorry for the duplicate question! I didn't see it. – user29372 May 30 '13 at 11:41
No need to be sorry, it's a good question! – May 30 '13 at 11:43

Is the series $\sum_{n=1}^\infty n^{-1-|\!\sin n|}$convergent?

0 Answers0