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Show that the function f(x) = 1/x is not uniformly continuous on the half-open interval (0, 1] but is uniformly continuous on [1, b]
Show that the function f(x) = 1/x is not uniformly continuous on the half-open interval (0, 1] but is uniformly continuous on [1, b] where b = R. What is a sufficient condition for functions defined on subsets of R to be uniformly continuous?
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Introduction to Real Analysis
Authors: Robert G. Bartle, Donald R. Sherbert
4th edition
471433314, 978-1118135853, 1118135857, 978-1118135860, 1118135865, 978-0471433316
