Problem:

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> $$\lim\_{x \to 1^-} \frac{1}{(x-1)^{\frac{1}{3}}}$$
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**Without a calculator**, what is the simplest method to solving this limit? I multiplied $\frac{1}{(x-1)^{\frac{1}{3}}}$ by $\frac{(x-1)^{2/3}}{(x-1)^{2/3}}$ to get $\frac{(x-1)^{2/3}}{(x-1)}$. I then rewrote the limit as $\lim\_{x \to 1^-} \frac{(x-1)^{2/3}}{(x-1)}$ so I could get an indeterminate form. I then tried using l'hospital's rule but I got an undefined answer.