If f(x) is differentiable in (a, b) and there is M > 0 such that |f'(x)| < M for all x E (a, b), then f(x) is uniformly continuous in (a, b). True False
If f(x) is differentiable in (a, b) and there is M > 0 such that |f'(x)| < M for all x E (a, b), then f(x) is uniformly continuous in (a, b). True False
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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