# Determining Limits

## Homework Statement

Determine the limit as x approaches 0 of

f(x) = [(1+x)1/2 - 1] / [(1+x)1/3 - 1]

## Homework Equations

I am not allowed to use L'Hopital's Rule.

## The Attempt at a Solution

I multiplied by the conjugate of the numerator and got a nasty denominator that I cannot simplify nicely. Can someone give me a lead?