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Math Help - how to show the following result using continuity definition

  1. #1
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    how to show the following result using continuity definition

    Using an appropriate definition of continuity, show that the continuity of f (.) at x is equivalent to


    lim h->0 sup|t|<h |f (x + t) ─ f (x)| = 0
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  2. #2
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    Re: how to show the following result using continuity definition

    Please don't double post.
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