Let S be a nonempty bounded set in R. (a) Let a > 0, and let aS
Question:
(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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a Let u sup S and a0 Then xu for all x S whence axau for ...View the full answer
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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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