axiom by using the Monotone convergenence theorem
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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prove the completeness axiom by using the Monotone convergenence theorem:Every bounded, monotonic sequence converges (In this version, don't make reference to sup's and inf's because we don't know they exist without the completeness axiom)
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