2. Show directly that sup(4) = 1 for A = {1- : n eN}.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 46E
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Step 1
As we know that,
Therefore 1 is the upper bound of the set .
And for each , by Archimedean Property ,
Therefore is not an upper bound for the set for each .
Therefore, 1 is the greatest upper bound and hence
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