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Math Help - Example of limit of a function

  1. #1
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    Example of limit of a function

    Find an example of a function 0,1) \rightarrow \mathbb {R} " alt="f0,1) \rightarrow \mathbb {R} " /> that is differentiable with f'(x) not bounded, and that  \lim _{x \rightarrow 0^+ } f(x) do not exist.

    Umm... I can't really think of any examples. Since  f(x)= \frac {1}{x} has a bounded derivative.
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  2. #2
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    Quote Originally Posted by tttcomrader View Post
     f(x)= \frac {1}{x} has a bounded derivative.
    Does it?
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  3. #3
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    the derivative is -x^{(-2)} = - \frac {1}{x^2} , yeah, it is not bounded below, hell. Thanks.
    Last edited by tttcomrader; October 21st 2008 at 04:44 AM.
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