# Thread: Use the squeeze theorem to determine limit

1. ## Use the squeeze theorem to determine limit

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

Thanks in advance

2. ## Re: Use the squeeze theorem to determine limit

Hint:

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

Apply the power $\frac{1}{n^2}$ to all 3 terms, then...

3. ## Re: Use the squeeze theorem to determine limit

Thank you so much for your help!

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### using squeeze theorem determine limit of (n^(1/n^2))

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