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find-n-0-cos-2n-1-pi-4-2n-1-2-




Question Number 34013 by math khazana by abdo last updated on 29/Apr/18
find  Σ_(n=0) ^∞     ((cos((2n+1)(π/4)))/((2n+1)^2 )) .
$${find}\:\:\sum_{{n}=\mathrm{0}} ^{\infty} \:\:\:\:\frac{{cos}\left(\left(\mathrm{2}{n}+\mathrm{1}\right)\frac{\pi}{\mathrm{4}}\right)}{\left(\mathrm{2}{n}+\mathrm{1}\right)^{\mathrm{2}} }\:. \\ $$

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