Let S be a nonempty bounded set in R. (a) Let a > 0, and let aS

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Let S be a nonempty bounded set in R.
(a) Let a > 0, and let aS := {as : s ∈ S}. Prove that
Inf(aS) = a inf S; sup(aS) = a sup S:
(b) Let b < 0 and let bS = {bs : s ∈ S}. Prove that
Inf(bS) = b sup S; sup(bS) = b inf S:

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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 10:54 AM

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Let S be a nonempty bounded set in R. (a) Let a > 0, and let aS

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a Let u sup S and a0 Then xu for all x S whence axau for ...View the full answer

Introduction to Real Analysis

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