Calculus › Limits of sequences › Factorials and binomials

Limit of xth root of factorial over x

University · ●●●○○ 50 pts

Find the value of lim⁡n→∞n!nn\lim_{n\to\infty} \frac{\sqrt[n]{n!}}{n}, where nn is a positive integer. Round to two decimal places.

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limits at infinityStirling's approximationfactorialsRiemann sumslogarithms