For each positive integer n | Maths | JEE Advanced 2018

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For each positive integer n , let $$ y_n=\frac{1}{n}((n+1)(n+2) \ldots(n+n))^{1 / n} . $$ For $x \in R$, let $[x]$ be the greatest integer less than or equal to $x$. If $\lim _{n \rightarrow \infty} y_n=L$, then the value of $[L]$ is

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