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Math Help - Limit of a Function

  1. #1
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    Limit of a Function

    Give an example to show that \lim_{x \to 0}\frac{g(ax)}{x} need not exist if a=0.
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  2. #2
    Senior Member Tinyboss's Avatar
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    Quote Originally Posted by Markeur View Post
    Give an example to show that \lim_{x \to 0}\frac{g(ax)}{x} need not exist if a=0.
    What if g(0)=c\ne0?
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  3. #3
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    I believe any non-zero constant function would work
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