(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

for all integers n>=1, n! <= n^n

2. Relevant equations

3. The attempt at a solution

Base case: (1)! <= (1)^(1) 1=1 check

Inductive hypothesis: suppose k!<=k^k

P(k+1): (k+1)! <= (k+1)^(k+1)

From here on out I get very confused. Any help would be appreciated!

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# Homework Help: Induction proof of an inequality

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