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

n! < (n+1)^{n}

I am not looking for a proof, just a way to simplify this equation mathematically.

2. Relevant equations

3. The attempt at a solution

As far as I can see, I cannot simplify this any further. Is there something I can divide out of both sides, for example?

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# How to show that n! < (n+1)^n

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