Uniform continuity

[triclino]

Given that:

 

1) A function [math] f: D_{f}\subset R\rightarrow R[/math] is uniformly continuous iff for any pair of sequences {[math]x_{n}[/math]} {[math]y_{n}[/math]} in [math] D_{f}[/math] ( = domain of f),

 

[math]lim_{n\to\infty}|x_{n}-y_{n}| = 0[/math][math]\Longrightarrow lim_{n\to\infty}|f(x_{n})-f(y_{n})| = 0[/math],

 

Determine if the function f(x) = [math]x^2[/math] is uniformly continuous or not.