Uniform continuity of functions like x^2

Context: Undergrad
Thread starter SANGHERA.JAS
Start date Nov 7, 2011
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Continuity Functions Uniform Uniform continuity

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SANGHERA.JAS

Thread starter
Nov 7, 2011

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.

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mathman

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Nov 7, 2011

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

SANGHERA.JAS

Nov 7, 2011

Thank you.

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Uniform continuity of functions like x^2

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