Suppose that x R, xn > 0, and xn x as n . Prove

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Suppose that x ∊ R, xn > 0, and xn → x as n → ∞. Prove that √xn → √x as n → ∞. [For the case x = 0, use inequality (8) in Section 1.2.]

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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 03:55 AM

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Suppose that x R, xn > 0, and xn x as n . Prove

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Case 1 x 0 Let 0 and choose N so large that n N implies x n 2 ...View the full answer

An Introduction to Analysis

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