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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.

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I am wrong and sorry for it. – gaoxinge Jan 26 '14 at 4:34
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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 5:16
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I think it may be an open problem, see: math.stackexchange.com/questions/20555/… – user901823 Jan 26 '14 at 7:27
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@user901823 fantastic lol – Ethan Jan 26 '14 at 7:34

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