(Solved):Prove n! = o(n^n). View Answer…

 

Question

Prove {eq}n! = o(n^{n}).

{/eq}

 

EXPERT ANSWER

n! = n * n-1 * n-2 * ….. * 1 (n times)

If we remove the constants, this simply becomes n * n .. (n times) .. = n^n

so n! = n^n

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