Uniform continuity of functions like x^2

  • #1
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.
 

Answers and Replies

  • #2
mathman
Science Advisor
7,924
467
The general idea is that as x becomes larger you need smaller epsilons for a given delta.
 
  • #3
Thank you.
 

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