# Power Series n^n)*(x^n)

Power Series:(n^n)*(x^n)

## Homework Statement

The only step I'm having problem with on this problem is when I take the Lim n→∞ of the problem. I want to know how to cancel the n^n on the denominator during one of the steps.

Ʃ (n^n)*(x^n)
n=1

## The Attempt at a Solution

lim n→∞ [(n+1)^(n+1)]*[x^(n+1)]$/$[(n^n)*(x^n)]

|x| lim n→∞ [(n+1)^(n+1)]$/$n^n

That's where I got stuck.

(n+1)n+1 / nn = ( (n+1)n / nn ) * (n+1). Can you see the limit now?

Oh, I definitely see it now! Thanks. (^o^)/

Dick