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Math Help - Limit of an indeterminant form 0/0

  1. #1
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    Limit of an indeterminant form 0/0

    Compute lim x->0 (tan(3x^3 + 5x^2 -2x))/(2x^3 - 3x^2 + x)

    Thanks!
    Last edited by mr fantastic; April 22nd 2010 at 10:09 PM. Reason: Re-titled post
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  2. #2
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    Quote Originally Posted by machack View Post
    Compute lim x->0 (tan(3x^3 + 5x^2 -2x))/(2x^3 - 3x^2 + x)

    Thanks!
    At a brief glance, I see it's a candidate for l'Hopital's Rule. Have you tried that approach?
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  3. #3
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    Quote Originally Posted by mr fantastic View Post
    At a brief glance, I see it's a candidate for l'Hopital's Rule. Have you tried that approach?
    Yes.. it's obvious that l'hopital's rule should be used, but I need help getting the exact answer seeing as how things get more complicated as you continously try to take derivative of the denominator and the numerator.
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    Quote Originally Posted by machack View Post
    Yes.. it's obvious that l'hopital's rule should be used, but I need help getting the exact answer seeing as how things get more complicated as you continously try to take derivative of the denominator and the numerator.
    I just knew I should have added the following in my reply:

    "If so, please show your work and say where you are stuck."

    Nevertheless ....

    limit of Tan[3x^3 + 5x^2 -2x]/(2x^3 - 3x^2 + x) as x aproaches 0 - Wolfram|Alpha

    Click on Show steps.
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  5. #5
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    Ah I understand now. Thanks for your help and the great website
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