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find-lim-n-k-1-n-1-k-2-n-3-




Question Number 30514 by abdo imad last updated on 22/Feb/18
find lim_(n→∞)  Π_(k=1) ^n  (1− (k^2 /n^3 )).
$${find}\:{lim}_{{n}\rightarrow\infty} \:\prod_{{k}=\mathrm{1}} ^{{n}} \:\left(\mathrm{1}−\:\frac{{k}^{\mathrm{2}} }{{n}^{\mathrm{3}} }\right).\: \\ $$

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