Help with Series Convergence

Asked Jan 26 '14 at 04:30

Active Jan 26 '14 at 07:19

Viewed 97 times

Can someone help me prove that the following series $S$ converges:

$$S=\sum_{m=1}^\infty\frac{1}{m^2|\sin(m)|}$$

I would appreciate any help in constructing a simple proof.

edited Jan 26 '14 at 07:19

asked Jan 26 '14 at 04:30

Ethan Splaver

I am wrong and sorry for it. – gaoxinge Jan 26 '14 at 04:34
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I believe it is hard, and there was a similar question with tangent but I can't find it.. – user21820 Jan 26 '14 at 05:16
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I think it may be an open problem, see:
http://math.stackexchange.com/questions/20555/are-there-any-series-whose-convergence-is-unknown
– user901823 Jan 26 '14 at 07:27
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@user901823 fantastic lol – Ethan Splaver Jan 26 '14 at 07:34

0 Answers0