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Math Help - Limits

  1. #1
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    Limits

    Find the limit, if it exists.

    limit as x approaches 2 (x^3+x^2-14x+16)/(x-2)
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  2. #2
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    Quote Originally Posted by CalculusKing View Post
    Find the limit, if it exists.
    limit as x approaches 2 (x^3+x^2-14x+16)/(x-2)
    If x=2 is a zero of x^3 +x^2 -14x +16 then (x-2) is a factor.
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  3. #3
    MHF Contributor matheagle's Avatar
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    I wouldn't divide. This is of the form 0/0, so I would use l'Hopital's Rule to quickly solve this.
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    I, on the other hand, would prefer Plato's method. It requires less "sophisticated" machinery.
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    MHF Contributor matheagle's Avatar
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    Quote Originally Posted by HallsofIvy View Post
    I, on the other hand, would prefer Plato's method. It requires less "sophisticated" machinery.

    I agree, but I hate division.
    It's good to see both ways though.
    I do half of the l'hopital problems in calc 2 via calc 1 techniques.
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  6. #6
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    Quote Originally Posted by matheagle View Post
    I agree, but I hate division.
    It's good to see both ways though.
    I do half of the l'hopital problems in calc 2 via calc 1 techniques.
    Please donít forget that many problems on limits appear in calculus textbooks before differentiation is ever introduced.
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