Let (S) be a non-empty set of real numbers, and suppose (S) has least upper bound (c).

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Let \(S\) be a non-empty set of real numbers, and suppose \(S\) has least upper bound \(c\). Prove that there exists a sequence \(\left(s_{n}\right)\) such that \(s_{n} \in S\) for all \(n\) and \(s_{n} \rightarrow c\).

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A Concise Introduction To Pure Mathematics

ISBN: 9781498722926

4th Edition

Authors: Martin Liebeck

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Question Posted: May 21, 2024 03:03 AM

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Let (S) be a non-empty set of real numbers, and suppose (S) has least upper bound (c).

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A Concise Introduction To Pure Mathematics

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