(2) Let the sequence (an) ≤R be monotone increasing and bounded. Prove that lim an = sup{an: ne N}. TX

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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(2) Let the sequence (a,)CR be monotone increasing and bounded. Prove
that
lim a, = sup{a, in E N}.
Transcribed Image Text:(2) Let the sequence (a,)CR be monotone increasing and bounded. Prove that lim a, = sup{a, in E N}.
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