......advanced........calculus....... prove that:: ξ:=Π_(n=2) ^∞ e(1−(1/n^2 ))^n^2 =(π/(e(√e)))


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Question Number 141322 by mnjuly1970 last updated on 17/May/21

$. . . . . . a d v a n c e d . . . . . . . . c a l c u l u s . . . . . . .$ $p r o v e t h a t ::$ $ξ := \underset{n = 2}{\prod^{\infty}} e {(1 - \frac{1}{n^{2}})}^{n^{2}} = \frac{π}{e \sqrt{e}}$
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