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Limit finding

  1. Jan 27, 2008 #1
    1. The problem statement, all variables and given/known data
    [tex]\lim_{x\to 8}\frac{x-8}{x^{\frac{1}{3}}-2}[/tex]

    2. Relevant equations
    Answer is 12

    3. 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]
    Last edited: Jan 27, 2008
  2. jcsd
  3. Jan 27, 2008 #2

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    Homework Helper

    Correct. The latex graphics is not showing everything correctly, though.
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