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Math Help - Indeterminate Forms

  1. #1
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    Indeterminate Forms

    I know that 0*∞ is an indeterminate form. Is this provable?
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  2. #2
    MHF Contributor

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    What is yourdefinition of "indefinite form"?

    I suspect you mean that you can have functions f(x), g(x), f'(x), and g'(x) such that \lim_{x\to a} f(x)= 0. \lim_{x\to a} g(x)= \infty, \lim_{x\to a} f'(x)= 0, and \lim_{x\to a} g'(x)= \infty such that \lim_{x\to a} f(x)g(x) and \lim_{x\to a} f'(x)g'= 0 converge to different limits.

    And you can prove that by showing such functions.
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