(a) If f is uniformly continuous on a bounded set U, prove that f is bounded on U. (Hint: for contradiction, assume (xn) U for which f(xn)| →∞...) (b) Use (a) to give another proof that is not uniformly continuous on (0,1).
(a) If f is uniformly continuous on a bounded set U, prove that f is bounded on U. (Hint: for contradiction, assume (xn) U for which f(xn)| →∞...) (b) Use (a) to give another proof that is not uniformly continuous on (0,1).
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 4CR
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