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Math Help - Real Analysis: Functions

  1. #1
    Junior Member
    Joined
    Nov 2008
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    65

    Real Analysis: Functions

    I don't know how to start this proof. Help please!!




    Thank you!!
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  2. #2
    Super Member
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    Aug 2009
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    Israel
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    Let \epsilon > 0 and take \delta>0 such that |x-c| < \delta \Rightarrow |g(x)-0| < \epsilon

    Try to estimate |f(x)g(x) - 0| using what I've given you and using the fact that f is bounded on A.
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