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Math Help - Continuity Question

  1. #1
    Member
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    Continuity Question

    Literally have no idea how to even start this question:
    Prove that if f is continuous at x_0, then |f| is continuous at x_0.

    Can someone give me a hint so I can start? Cheers.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Use:

    \left|\;|f(x)|-|f(a)|\;\right|\leq |f(x)-f(a)|<\epsilon


    Fernando Revilla
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