# Writing The Limit Of A Sequence With A Factorial

1. Sep 30, 2012

### Bashyboy

1. The problem statement, all variables and given/known data
The sequence is $a_n = \frac{n^P}{e^n}$

2. Relevant equations

3. The attempt at a solution
If I did L'Hopital's rule P times, would the final product look like:

$P!\times lim_{n \rightarrow \infty} = \frac{1}{e^n}$ ?

2. Sep 30, 2012

### Dustinsfl

I don't see why it wouldn't

3. Oct 1, 2012

### Bashyboy

I just wasn't sure if I had wrote it properly. Thank you.