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Question Number 132162 by Dwaipayan Shikari last updated on 11/Feb/21

Σ_(n=1) ^∞ ((sin(n))/n^2 )

n=1sin(n)n2

Answered by mnjuly1970 last updated on 11/Feb/21

(1/(2i))[li_2 (e^i )−li_2 (e^(−i) )]

12i[li2(ei)li2(ei)]

Commented by Dwaipayan Shikari last updated on 11/Feb/21

But exact result possible sir?

Butexactresultpossiblesir?

Commented by mnjuly1970 last updated on 11/Feb/21

 i will try sir payan   Σ((cos(n))/n^2 ) is very simple .  Σ((sin(n))/n^2 ) is a little bit challanging   fourier series is useful..

iwilltrysirpayanΣcos(n)n2isverysimple.Σsin(n)n2isalittlebitchallangingfourierseriesisuseful..

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