(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let a>1. Prove the limit as n goes to [itex]\infty[/itex] of a^{1/n}= 1.

3. The attempt at a solution

Given [itex]\epsilon[/itex] > 0, [itex]\forall[/itex]n>N, |a^{1/n}-L|<[itex]\epsilon[/itex] and N=(a-1)/[itex]\epsilon[/itex].

|a^{1/n}-L| = a^{1/n}-1

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

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

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