Limits of convergent sequences

[cathy]

Homework Statement

an= (n/n+2)^n

ANS: 1/e^2

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?

 

[cathy]

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

 

[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.