# Use the squeeze theorem to determine limit

• Nov 7th 2012, 01:37 AM
AainaaRoz
Use 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, 04:14 AM
alphabeta89
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...
• Nov 15th 2012, 08:46 PM
AainaaRoz
Re: Use the squeeze theorem to determine limit
Thank you so much for your help!