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

Give an inductive proof that (n!)^2 > n^n for n≥3

2. Relevant equations

3. The attempt at a solution

The case n=3 is easy (3! = 6, 6^2 = 6; 3^3 = 27; 36>27 : QED)

I can write out/expand ((n+1)!)^2 and (n+1)^(n+1), but I'm lost trying to manipulate the resulting expressions to prove the LHS > RHS.

Help please.

(First post here, please be gentle)

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

2. Relevant equations

3. The attempt at a solution

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# Inductive proof that (n!)^2 >n^n for n≥3

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