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Math Help - Theorem in limits

  1. #1
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    Theorem in limits

    Challenge problem:

    Let f be a function :

    Prove that:

    If, a, is not an accumulation point of A,then there exists an mεR,such that for all ε>0 there exists a δ>0 such that :

    for all ,x: and  0<|x-a|<\delta\Longrightarrow |f(x)-m|<\epsilon



    Moderator edit: Approved Challenge question.
    Last edited by mr fantastic; June 28th 2010 at 04:22 PM. Reason: Approved.
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