[tex]\lim_{x->1}\frac{\sqrt[3]{x}-1}{\sqrt{x}-1}[/tex](adsbygoogle = window.adsbygoogle || []).push({});

I can do it with L'Hospitals, but my teacher said there is also a way to do it without. I tried all sorts of techniques such as multiplying by the conjugate of both the denom/numerator as well as taking [tex]\sqrt{x}[/tex] out of both the denom and numerator. I can't see what method my teacher sees that I don't..

I get 2/3 with L'Hospitals by the way.

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# Anyone see how to solve this without L'Hospitals?

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