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Thread: how to show the following equality holds.

  1. October 27th 2012, 08:55 AM #1
    ujgilani
    ujgilani is offline
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    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 10:13 AM.
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