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


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
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
I think it may be an open problem, see:… – user901823 Jan 26 '14 at 7:27
@user901823 fantastic lol – Ethan Jan 26 '14 at 7:34

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