Determine the limit as x approaches 0 of
f(x) = [(1+x)1/2 - 1] / [(1+x)1/3 - 1]
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?