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A Problem About Uniformly Continuous functions

  1. Sep 20, 2008 #1
    Let I be the interval I=[0,infinity). Let f: I to R be uniformly continuous. Show there exist positive constants A and B such that |f(x)|<=Ax+B for all x that belongs to I.

    Please help me!~
  2. jcsd
  3. Sep 20, 2008 #2


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    what is the definition of uniformly continuous? state it in terms of delta x and delta y.
  4. Sep 20, 2008 #3
    I have known the answer. Thanks.
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