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Math Help - limits

  1. #1
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    limits

    1) the limit as x approaches -2 of x^3 + 2x^2/x^2 - 2x - 8



    A) -2/3 B) 3/2 C) -1/8 D)DNE
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by obsmith08 View Post
    1) the limit as x approaches -2 of x^3 + 2x^2/x^2 - 2x - 8



    A) -2/3 B) 3/2 C) -1/8 D)DNE
    Note that \frac{x^3+2x^2}{x^2-2x-8}=\frac{x^2\left(x+2\right)}{\left(x-4\right)\left(x+2\right)}

    Can you take it from here?
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  3. #3
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    Quote Originally Posted by obsmith08 View Post
    1) the limit as x approaches -2 of x^3 + 2x^2/x^2 - 2x - 8

    A) -2/3 B) 3/2 C) -1/8 D)DNE
    lim_{x \to -2} \frac{x^3+2x^2}{x^2-2x-8} = -\frac{2}{3}
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