JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

\lim \limits_{{n \rightarrow \infty}}\left(\frac{n !}{(m n) ^ n}\right) ^ {1 / n}(m, n \in N)

is equal to : (where '

\mathrm{e}

' is napiers constant)

View answer and explanation

Correct option: A

\frac{1}{\mathrm{em}}

Option A (

\frac{{1}}{{\mathrm{{em}}}}

) is correct because it is the result of evaluating the limit using Stirling's approximation or by converting the limit into an integral.

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