Suppose f(r) is defined (but not necessarily continuous) on the closed interval [a, b] and suppose...
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Suppose f(r) is defined (but not necessarily continuous) on the closed interval [a, b] and suppose that f is nondecreasing on [a, b]. (a) Show that f is bounded above and bounded below. (Hint: don't over-think this. It should be easy.) (b) Let c (a, b) be arbitrary. Prove that lim f(a) exists, and prove that lim f(x) exists. 2-c (c) Prove that lim f(x) ≤ f(c) ≤ lim f(x). 11" zuet Suppose f(r) is defined (but not necessarily continuous) on the closed interval [a, b] and suppose that f is nondecreasing on [a, b]. (a) Show that f is bounded above and bounded below. (Hint: don't over-think this. It should be easy.) (b) Let c (a, b) be arbitrary. Prove that lim f(a) exists, and prove that lim f(x) exists. 2-c (c) Prove that lim f(x) ≤ f(c) ≤ lim f(x). 11" zuet
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Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
Posted Date:
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