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Math Help - Two functions converging

  1. #1
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    Two functions converging

    Hello!

    Suppose i have two functions f(x) > g(x). I need that f(x) - g(x) = 0 (well, as close as possible to zero) from some point x* on. Does anyone know a condition to guarantee that?

    Thanks in advance,

    A.
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  2. #2
    MHF Contributor chisigma's Avatar
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    The solution to your problem is the value x that minimizes the quantity...

    e(x) = f(x) - g(x) (1)

    ... which is one of the numbers x that satisfies the equation...

    e^{'} (x)=0 (2)

    ... with the further condition...

    e^{''} (x) > 0 (3)


    Kind regards

    \chi \sigma
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  3. #3
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    Two Functions converging (Solved)

    SURE!

    Thank you very much for your help!

    Best Regards,

    A.
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