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
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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