30 Chapter 4 Differentiation example of a function that fails to satisfy a Lipschitz condition at a point of continuity. If f is differentiable at .x. prove that f satisfies a Lipschitz condition at .x. 1:CC iskla on (ah)
30 Chapter 4 Differentiation example of a function that fails to satisfy a Lipschitz condition at a point of continuity. If f is differentiable at .x. prove that f satisfies a Lipschitz condition at .x. 1:CC iskla on (ah)
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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Transcribed Image Text:30 Chapter 4 Differentiation
example of a function that fails to satisfy a Lipschitz condition at a point of continuity. If f
is differentiable at .x. prove that f satisfies a Lipschitz condition at .x.
CI
1.66
blo on (a b)

Transcribed Image Text:A function f: (a, b)→ R satisfies a Lipschitz condition at x E (a, b) iff there is M > 0 and
€ >0 such that x - y < e and y E (a, b) imply that f(x) - f(y)| ≤ Mx - y). Give an
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