S Property, B be a
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Um.... in the problem statement, there is no mention of B being bounded below and L isn't the set of lower bounds of B.
The given info is:
- S is an ordered set with G.L.B proerty
- B is a nonempty subset of S
- B is bounded above
- L is the set of all upper bounds of B
Want to prove:
- a = inf L exists in S
- a = sup B
Could someone give a more detailed response?
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