Limits of convergent sequences

[cathy]

Homework Statement

an= (n/n+2)^n

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?

 

[Dick]

Homework Statement

an= (n/n+2)^n

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?

It has a finite limit as a sequence. If you are treating it as a series, it's divergent. How are you concluding it's divergent? Ah, I see this is a double post.