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limn→∞(n!(mn)n)1/n\displaystyle \lim_{n \to \infty}\left(\dfrac{n!}{(mn)^n}\right)^{1/n}n→∞lim((mn)nn!)1/n
Let mmm be a constant positive number. Evaluate the limit above for integer nnn.
Clarification: eee denotes Euler's number, e≈2.71828e \approx 2.71828e≈2.71828.
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