I need the answer as soon as possible Theorem 3. If S is a non-empty set of real numbers which is boundedabove, then a real number s is the supremum of S if and only if the followingtwo conditions hold :(i) x 0, 3 some x E S such that x > s - E.

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Answered: Theorem 3. If S is a non-empty set of…

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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Theorem 3. If S is a non-empty set of real numbers which is bounded above, then a real number s is the supremum of S if and only if the following two conditions hold : (i) x 0, 3 some x e S such that x > s-E.