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Math Help - lipschitz functions

  1. #1
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    lipschitz functions

    I need to show that f(x)=\sqrt[3]{x} and
    g(x)=xsin(\frac{1}{x}) for x\in (0,1] are NOT Lipschitz.
    Im a little lost on how to proceed.
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  2. #2
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    is it enough to show that they are not uniformly continuous?
    if so Im still not sure how to show that f(x) is not uniformly continous
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  3. #3
    MHF Contributor chisigma's Avatar
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    Necessary condition for a function to be 'Lipschitz' is that its derivative is bounded in all the interval of definition...

    Kind regards

    \chi \sigma
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