For each positive integer n, let yn=1n{(n+1)(n+2)......(n+n)}1n For x – InterviewSolution

1.	For each positive integer n, let yn=1n{(n+1)(n+2)......(n+n)}1n For x∈R let [x] be the greatest integer less than or equal to x. If limn→∞yn=L, then the value of [L] is
Answer» For each positive integer $n$ , let $y_{n} = \frac{1}{n} {(n + 1) (n + 2) . . . . . . (n + n)}^{\frac{1}{n}}$ For $x \in R$ let $[x]$ be the greatest integer less than or equal to $x$ . If $lim n \to \infty y_{n} = L$ , then the value of $[L]$ is

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