Calculating Limit of Series – A quotient of factorial of n divided by n to the power of n – Exercise 586

Exercise

Find the limit

limnn!nn\lim _ { n \rightarrow \infty} \frac{n!}{n^n}

Final Answer


limnn!nn=0\lim _ { n \rightarrow \infty} \frac{n!}{n^n} = 0

Solution

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