- #1

Jolteon

- 3

- 0

## Homework Statement

Determine if the following sequence in convergent or divergent, and state the limit if it converges.

((4^n)/n)^(1/n) or "The nth root of '4 to the n' over 'n'"

## Homework Equations

lim ___(n)^(1/n) = 1

n->inf

## The Attempt at a Solution

I had this question on a quiz earlier, but wasn't too sure about my answer. As n approaches infinity, the exponent on the very outside approaches 0. So naturally I thought that anything to the 0 is 1. However, thinking back on it, I think the inside gets larger faster than the outside exponent gets smaller. Thanks for any help, I don't want to wait until Monday!