Use the squeeze theorem to prove the limit for (( n! )^(1/n^2))

Thanks in advance :)

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- Nov 7th 2012, 12:37 AMAainaaRozUse the squeeze theorem to determine limit
Use the squeeze theorem to prove the limit for (( n! )^(1/n^2))

Thanks in advance :) - Nov 7th 2012, 03:14 AMalphabeta89Re: Use the squeeze theorem to determine limit
Hint:

For large $\displaystyle n, n^2 < n! < n^n$

Apply the power $\displaystyle \frac{1}{n^2}$ to all 3 terms, then... - Nov 15th 2012, 07:46 PMAainaaRozRe: Use the squeeze theorem to determine limit
Thank you so much for your help!