Σ_(n=1) ^∞ ((cos((n/π)))/n^4 )=−(1/(48π^4 ))+(1/(12))(1−(1/π^2 ))+(π^4 /(90))


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Question Number 133344 by Dwaipayan Shikari last updated on 21/Feb/21

$\underset{n = 1}{\sum^{\infty}} \frac{c o s (\frac{n}{π})}{n^{4}} = - \frac{1}{48 π^{4}} + \frac{1}{12} (1 - \frac{1}{π^{2}}) + \frac{π^{4}}{90}$
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