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

Determine the limit as x approaches 0 of

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

2. Relevant equations

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

3. 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?

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# Homework Help: Determining Limits

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