Step by step on how to prive this. Subject is Real Analysis. **Problem 4.3.5.** Let \( f : A \to \mathbb{R}^n \) be locally Lipschitz. Show that if \( K \) is a compact subset of \( A \), then \( f \) is Lipschitz on \( K \).

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Answered: Problem 4.3.5. Let f: A R" be locally…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Problem 4.3.5. Let f: A R" be locally Lipschitz. Show that if K is a compact on K. subset of A, then f is Lipschitz