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Question Number 67533 by mathmax by abdo last updated on 28/Aug/19
find the value of Π_(n=1) ^∞ (1+(1/(n(n+2))))  Π_(n=1) ^∞ (1−(2/(n(n+1))))
$${find}\:{the}\:{value}\:{of}\:\prod_{{n}=\mathrm{1}} ^{\infty} \left(\mathrm{1}+\frac{\mathrm{1}}{{n}\left({n}+\mathrm{2}\right)}\right) \\ $$$$\prod_{{n}=\mathrm{1}} ^{\infty} \left(\mathrm{1}−\frac{\mathrm{2}}{{n}\left({n}+\mathrm{1}\right)}\right) \\ $$

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