# Proof of Limits: a^(1/n)

## Homework Statement

Let a>1. Prove the limit as n goes to $\infty$ of a1/n = 1.

## The Attempt at a Solution

Given $\epsilon$ > 0, $\forall$n>N, |a1/n-L|<$\epsilon$ and N=(a-1)/$\epsilon$.
|a1/n-L| = a1/n-1

...and that's where I get confused. I know that I have to multiply (a1/n-1) by something but I'm not sure what exactly (a hint my professor gave).