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Application of Derivatives question

2018 · Shift 1 · Q29

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PYQ Library
JEE Advanced
Mathematics
Application of Derivatives
2018 · Shift 1 · Q29

Application of Derivatives question

2018 · Shift 1 · Q29

JEE AdvancedMathematicsApplication of DerivativesNumerical+3 / −1

For each positive integer n, let

{y_n} = {1 \over n}(n + 1)(n + 2)...{(n + n)^{{1 \over n}}}

. For x

\in

R, let [x] be the greatest integer less than or equal to x. If

\mathop {\lim }\limits_{n \to \infty } {y_n} = L

, then the value of [L] is ..............

Numerical answer

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