Let K be compact in R and let c R. Prove that there exists

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Let K ≠ θ be compact in R and let c ∈ R. Prove that there exists a point b in K such that |c - b| = sup{|c - x| : x ∈ K}.

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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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Question Posted: Apr 07, 2016 11:13 AM

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Let K be compact in R and let c R. Prove that there exists

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Let K R be compact and let c R If n N there exists x n K such that sup...View the full answer

Introduction to Real Analysis

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