# Homework Help: Limits of convergent sequences

1. Mar 24, 2014

### cathy

1. The problem statement, all variables and given/known data

an= (n/n+2)^n

ANS: 1/e^2

3. The attempt at a solution

I was told this was convergent and I need to find the limit of the sequence. How do I do this, as I seem to keep getting that this is divergent. Isn't it divergent to infinity? Or am I missing something?

2. Mar 24, 2014

### cathy

Actually, this was silly of me. I figured it out.

3. Mar 24, 2014

### LCKurtz

Good. But as a reminder, $\frac n n +2 = 1+2 = 3$ so $a_n = 3^n$. If you meant something else you should either use Latex or use proper parentheses.

Last edited: Mar 24, 2014