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prove-1-1-1-2-1-1-2-2-1-1-3-2-upto-infinity-1-sinh-




Question Number 36338 by tanmay.chaudhury50@gmail.com last updated on 31/May/18
prove (1+(1/1^2 ))(1+(1/2^2 ))(1+(1/3^2 ))...upto infinity  =(1/Π)sinhΠ
$${prove}\:\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{1}^{\mathrm{2}} }\right)\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{2}} }\right)\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{2}} }\right)…{upto}\:{infinity} \\ $$$$=\frac{\mathrm{1}}{\Pi}{sinh}\Pi \\ $$

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