Let (In) be a nested sequence of closed bounded intervals. For each n N, let xn

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Let (In) be a nested sequence of closed bounded intervals. For each n ∈ N, let xn ∈ In. Use the Bolzano-Weierstrass Theorem to give a proof of the Nested Intervals Property 2.5.2.
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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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