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Uniform continuity of functions like x^2

  1. Nov 7, 2011 #1
    Why some functions that are continuous on each closed interval of real line fails to be uniformly continuous on real line. For example x2. Give conceptual reasons.
     
  2. jcsd
  3. Nov 7, 2011 #2

    mathman

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    The general idea is that as x becomes larger you need smaller epsilons for a given delta.
     
  4. Nov 7, 2011 #3
    Thank you.
     
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