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6. Let f: A R be a continuous function. Show that if A is compact then sup f(A)e f(A).

6. Let f: A R be a continuous function. Show that if A is compact then sup f(A)e f(A).

Advanced Engineering Mathematics
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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6. Let f : A→ R be a continuous function. Show that if A is compact then sup f(A) e f(A). 7. Show that the following functions are uniformly continuous on their respective domains: (a) f(x) = x? + 3r - 5 on the domain (1,3) (b) g(x) = on the domain (2, 5]
Transcribed Image Text:6. Let f : A→ R be a continuous function. Show that if A is compact then sup f(A) e f(A). 7. Show that the following functions are uniformly continuous on their respective domains: (a) f(x) = x? + 3r - 5 on the domain (1,3) (b) g(x) = on the domain (2, 5]
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