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Math Help - how to show the following equality holds.

  1. #1
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    Oct 2012
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    london
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    17

    any hints to solve the following !!

    Show that f(x) is the derivative of f(.) at x if and only if lim_{h \to 0} \sup_{|t|\leqslant h} \frac{|f(x+t)-f(x)-tf^{'} (x)|}{h} = 0
    Last edited by ujgilani; October 27th 2012 at 11:13 AM.
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