Let S be a non-empty subset of the reals such that each element of S is...
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Let S be a non-empty subset of the reals such that each element of S is greater than or equal to 1, and let T = {1/s: s belongs to S}. Then show that (a) supT <= inf S. (b) (sup T) . (inf S) = 1. Let S be a non-empty subset of the reals such that each element of S is greater than or equal to 1, and let T = {1/s: s belongs to S}. Then show that (a) supT <= inf S. (b) (sup T) . (inf S) = 1.
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Related Book For
Introduction to Real Analysis
ISBN: 978-0471433316
4th edition
Authors: Robert G. Bartle, Donald R. Sherbert
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