1. Prove the sequence {a,} = (1 +-)" Converges to the limit e*, what about the sequence {b,} = (1 –-)2n? %3D
1. Prove the sequence {a,} = (1 +-)" Converges to the limit e*, what about the sequence {b,} = (1 –-)2n? %3D
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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Transcribed Image Text:Exercise:
Sequences
1. Prove the sequence {a,} = (1 +-)" Converges to the limit ex, what about
the sequence {b,} = (1-)2n?
2. Determine the convergence and divergence of the following Sequences:
3" 6"
a. {
2-n n!
b. (1 -)";
c. in n)200,
n2
n2
1-
n4
d. {sin-1 ( + tanh-1
(n+1)2,
n++8n3
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