# Question: a function f a r is uniformly continuous...

###### Question details

A function f : A → R is uniformly continuous on A if for every > 0 there exists a δ > 0 such that for all x, y ∈ A, |x − y| < δ implies |f(x) − f(y)| < . (See section 4.4 of the text for more information) Show that f(x) = 1/x^2 is uniformly continuous on [1, ∞) but not on (0, 1]