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Question Number 29987 by abdo imad last updated on 14/Feb/18
prove that  Σ_(n=1_(n≠p) ) ^∞   (1/(n^2  −p^2 ))  =  (3/(4p^2 )) .
$${prove}\:{that}\:\:\sum_{{n}=\mathrm{1}_{{n}\neq{p}} } ^{\infty} \:\:\frac{\mathrm{1}}{{n}^{\mathrm{2}} \:−{p}^{\mathrm{2}} }\:\:=\:\:\frac{\mathrm{3}}{\mathrm{4}{p}^{\mathrm{2}} }\:. \\ $$

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