Uniform continuity of functions like x^2

[SANGHERA.JAS]

Main Question or Discussion Point

Why some functions that are continuous on each closed interval of real line fails to be uniformly continuous on real line. For example x². Give conceptual reasons.

 

[mathman]

The general idea is that as x becomes larger you need smaller epsilons for a given delta.

 

[SANGHERA.JAS]

Thank you.