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Math Help - Continuity functions (Generalization)

  1. #1
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    Continuity functions (Generalization)

    A example of function f:R\to R that no satify Lipschitz condition \lambda in all R, but continuous in all R?
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  2. #2
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    Quote Originally Posted by rmorin View Post
    A example of function f:R\to R that no satify Lipschitz condition \lambda in all R, but continuous in all R?

    f(x)=x^2 ...

    Tonio
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  3. #3
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by rmorin View Post
    A example of function f:R\to R that no satify Lipschitz condition \lambda in all R, but continuous in all R?
    Quote Originally Posted by tonio View Post
    f(x)=x^2 ...

    Tonio
    Haha!

    I bet he meant uniformly continuous, huh?
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  4. #4
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    i think it's probably that thing.

    but f(x)=\sqrt x on x\in[0,\infty) is a good choice.
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