a) Suppose that f : [0, ) R is continuous and that there is an L

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a) Suppose that f : [0, ∞) → R is continuous and that there is an L ∊ R such that f(x) → L as x → ∞. Prove that / is uniformly continuous on [0, ∞).
b) Prove that f(x) = l/(x2 + 1) is uniformly continuous 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 03:58 AM

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a) Suppose that f : [0, ) R is continuous and that there is an L

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a Given 0 choose N so large that x N implies fxL 3 By Theo...View the full answer

An Introduction to Analysis

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