Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Real Analysis 1
3. Choose and work either (a) or (b), NOT BOTH. (a) Let f be differentiable on (a, b) and suppose that f'(t)| < m for some m > 0 and for all t e (a, b). Prove that f is uniformly continuous on (a, b). (b) Let f and g be uniformly continuous on a set E C R. Prove that 2f + 3g is uniformly continuous on E.
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Transcribed Image Text:3. Choose and work either (a) or (b), NOT BOTH. (a) Let f be differentiable on (a, b) and suppose that f'(t)| < m for some m > 0 and for all t e (a, b). Prove that f is uniformly continuous on (a, b). (b) Let f and g be uniformly continuous on a set E C R. Prove that 2f + 3g is uniformly continuous on E.
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