Let In := [0; 1/n] for n N. Prove that n=1In = {0}.

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Let In := [0; 1/n] for n ∈ N. Prove that ∩∞n=1In = {0}.

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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 10:55 AM

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Let In := [0; 1/n] for n N. Prove that n=1In = {0}.

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Since 0 I n for all n N it follows that 0 I ...View the full answer

Introduction to Real Analysis

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