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Question Id : 11079 | Context : DU MCA 2021
$$ S_n = \left[ (n+1)(n+2)\cdots(n+n)\cdot \frac{1}{n^n} \right]^{\tfrac{1}{n}} $$ $$ \lim_{n \to \infty} S_n = \; ? $$ $$ (a)\;\tfrac{1}{e} \qquad (b)\;\tfrac{2}{e} \qquad (c)\;\tfrac{4}{e} \qquad (d)\;1 $$


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