# 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))

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!