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## Homework Statement

[tex]\lim_{x\to 8}\frac{x-8}{x^{\frac{1}{3}}-2}[/tex]

## Homework Equations

Answer is 12

## The Attempt at a Solution

[tex]\lim_{x\to 8}\frac{x-8}{x^{\frac{1}{3}}-2}= \lim_{x\to 8}\frac{(x^{\frac{1}{3}}-2)(x^{\frac{2}{3}}+2x^{\frac{1}{3}}+2^2)}{x^{\frac{1}{3}}-2}=\lim_{x\to 8}(x^{\frac{2}{3}}+2x^{\frac{1}{3}}+4)=12 [/tex]

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