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Math Help - continuity example

  1. #1
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    continuity example

    Hi, can anyone give me an example of a function whose absolute value is continuous at x=0, but the original function is not continuous at x=0.
    Cheers!
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    Re: continuity example

    Quote Originally Posted by liedora View Post
    Hi, can anyone give me an example of a function whose absolute value is continuous at x=0, but the original function is not continuous at x=0.
    Cheers!
    Try:

    f(x):=\left\{\begin{matrix}1& x\geq 0 \\ -1& x<0 \end{matrix}\right
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