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Let A ⊆Rm be open; let f : A →Rn, and let E ⊆A. If f is locally Lipschitz, then f is continuous on A. How to show that?

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.2: Mappings

Problem 27E: 27. Let , where and are nonempty. Prove that has the property that for every subset of if and...

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Let A ⊆Rm be open; let f : A →Rn, and let E ⊆A. If f is locally Lipschitz, then f is continuous on A.

How to show that?

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