Let an (1+ 1)" for n 2 1. Prove that the sequence (an),n>1 is bounded and monotone, and therefore convergent to a limit L D Show that the sequence (bn)n>1 is monotone and bound L2 For n1, let bn and therefore convergent to a limit L2. Prove that L1 -0 k!

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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Let an
(1+ 1)" for n 2 1. Prove that the sequence (an),n>1 is bounded and monotone,
and therefore convergent to a limit L
D
Show that the sequence (bn)n>1 is monotone and bound
L2
For n1, let bn
and therefore convergent to a limit L2. Prove that L1
-0 k!
Transcribed Image Text:Let an (1+ 1)" for n 2 1. Prove that the sequence (an),n>1 is bounded and monotone, and therefore convergent to a limit L D Show that the sequence (bn)n>1 is monotone and bound L2 For n1, let bn and therefore convergent to a limit L2. Prove that L1 -0 k!
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