Prove the following special case of Theorem 3.17: Suppose that f : [a, ) R for

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Prove the following special case of Theorem 3.17: Suppose that f : [a, ∞) → R for some a ∊ R. Then f(x) → L as x → ∞ if and only if f(xn) → L for any sequence xn ∊ (a, ∞) which converges to ∞ as n → ∞ .

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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 03:57 AM

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Prove the following special case of Theorem 3.17: Suppose that f : [a, ) R for

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Suppose fx L as x 1 Let 0 and choose M R such that x M implies fx L If x n as n ch...View the full answer

An Introduction to Analysis

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