# Uniform continuity

1. Nov 17, 2008

### CarmineCortez

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. Nov 17, 2008

Choose X = $$\mathbb{R}$$, and maybe let f(x) = x, for any x $$\in \mathbb{R}$$.