Let W be a nonempty subset of R that is bounded above, and define the set B as follows B= {N ER:N is an upper bound of W } %3| Prove supW = inf B %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let W be a nonempty subset of R that is bounded above, and define
the set B as follows
B = {N ER:N is an upper bound of W }
Prove supW = inf B
%3D
Transcribed Image Text:Let W be a nonempty subset of R that is bounded above, and define the set B as follows B = {N ER:N is an upper bound of W } Prove supW = inf B %3D
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