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Homework Help: Uniform continuity

  1. Nov 17, 2008 #1
    1. The problem statement, all variables and given/known data

    If f and g are uniformly continuous on X, give an example showing f*g may not be uniformly continuous.

    3. The attempt at a solution

    i think if the functions are unbounded the product will not uniformly continuous. Is there a specific example of this function..?
  2. jcsd
  3. Nov 17, 2008 #2
    Consider some simple examples first!
    Choose X = [tex]\mathbb{R}[/tex], and maybe let f(x) = x, for any x [tex]\in \mathbb{R}[/tex].
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