Every bounded sequence of real numbers has a convergent subsequence. [Construct a Cauchy sequence by successively dividing

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Every bounded sequence of real numbers has a convergent subsequence. [Construct a Cauchy sequence by successively dividing the interval containing the bounded sequence. Then use the completeness of R.]

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Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

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Question Posted: May 02, 2016 11:26 AM

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Every bounded sequence of real numbers has a convergent subsequence. [Construct a Cauchy sequence by successively dividing

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Assume is a bounded sequence in Without loss of generality we can assume th...View the full answer

Foundations of Mathematical Economics

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