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**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.

## Homework Equations

∞

Ʃ (n^n)*(x^n)

n=1

## The Attempt at a Solution

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

|x| lim n→∞ [(n+1)^(n+1)][itex]/[/itex]n^n

That's where I got stuck.