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Math Help - Continuity Proof

  1. #1
    Junior Member shannu82's Avatar
    Joined
    May 2010
    Posts
    28

    Exclamation Continuity Proof

    Prove that f(x) = x^(1/3) is continuous at x = c for c>0.

    Not sure how to even start... Any help would be appreciated.
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  2. #2
    Junior Member bondesan's Avatar
    Joined
    Jul 2010
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    Brazil
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    shannu82,

    A function is continuous at a point x=c if it satisfies two conditions:

    1 - f(c) exists, and

    2 - \lim_{x\to c} f(x) = f(c).

    The proof is just a matter of verifying this conditions. I hope it helps.
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