Suppose that f, fk: R R are continuous and nonnegative. Prove that if f(x) 0

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Suppose that f, fk: R → R are continuous and nonnegative. Prove that if f(x) → 0 as x → ±∞ and fk ↑ f everywhere on R, then fk → f uniformly on R.

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 04:15 AM

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Suppose that f, fk: R R are continuous and nonnegative. Prove that if f(x) 0

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Given 0 choose M so large that fx 2 for x M By Dinis T...View the full answer

An Introduction to Analysis

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