Problems: 00 E(-1)* a. k+1 For each of the following series of the form E(-1)*** a, or k=1 k=1 Identify the positive numbers a,,a,,az,.….. а. 29 Determine if the sequence a,,a,,a,,... is decreasing. Determine if lima, = 0 b. с. n00 d. If all of the above is true, conclude by the Alternating Series Theorem that the series converges.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Alternating Series Problem 

Problems:
E(-1)* a,
k+1
For each of the following series of the form E(-1)** a,
or
k=1
k=1
Identify the positive numbers a,az,az,…..
а.
29
b.
Determine if the sequence a,,a,,a,,….. is decreasing.
3>..
Determine if lima, = 0
с.
%3D
d.
If all of the above is true, conclude by the Alternating Series Theorem that the series
converges.
n+1
(-1)*".
n
7.
п+1
n=1
Transcribed Image Text:Problems: E(-1)* a, k+1 For each of the following series of the form E(-1)** a, or k=1 k=1 Identify the positive numbers a,az,az,….. а. 29 b. Determine if the sequence a,,a,,a,,….. is decreasing. 3>.. Determine if lima, = 0 с. %3D d. If all of the above is true, conclude by the Alternating Series Theorem that the series converges. n+1 (-1)*". n 7. п+1 n=1
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