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Question Number 28879 by abdo imad last updated on 31/Jan/18

find the value of Σ_(n=1) ^(+∞)   ((cos(nπx))/n^2 ) with  0<x<1.

$${find}\:{the}\:{value}\:{of}\:\sum_{{n}=\mathrm{1}} ^{+\infty} \:\:\frac{{cos}\left({n}\pi{x}\right)}{{n}^{\mathrm{2}} }\:{with}\:\:\mathrm{0}<{x}<\mathrm{1}. \\ $$

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