We want to use the Alternating Series Test to determine if the series: cos² (1) 2 Σ(~_~) k sin converges or diverges. We can conclude that: 3k The series converges by the Alternating Series Test. The Alternating Series Test does not apply because the absolute value of the terms are not decreasing. The series diverges by the Alternating Series Test. The Alternating Series Test does not apply because the terms of the series do not alternate. The Alternating Series Test does not apply because the absolute value of the terms do not approach 0, and the series diverges for the same reason.
We want to use the Alternating Series Test to determine if the series: cos² (1) 2 Σ(~_~) k sin converges or diverges. We can conclude that: 3k The series converges by the Alternating Series Test. The Alternating Series Test does not apply because the absolute value of the terms are not decreasing. The series diverges by the Alternating Series Test. The Alternating Series Test does not apply because the terms of the series do not alternate. The Alternating Series Test does not apply because the absolute value of the terms do not approach 0, and the series diverges for the same reason.
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:We want to use the Alternating Series Test to determine if the series:
cos² (1)
2
Σ (-_~()
k
3k
sin
converges or diverges.
We can conclude that:
The series converges by the Alternating Series Test.
The Alternating Series Test does not apply because the absolute value of the terms are not
decreasing.
The series diverges by the Alternating Series Test.
The Alternating Series Test does not apply because the terms of the series do not alternate.
The Alternating Series Test does not apply because the absolute value of the terms do not approach
0, and the series diverges for the same reason.
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Follow-up Question
Transcribed Image Text:We want to use the Alternating Series Test to determine if the series:
sin
lex
k6
converges or diverges.
We can conclude that:
cos
kx
2
5k
The Alternating Series Test does not apply because the absolute value of the terms do not approach
0, and the series diverges for the same reason.
The Alternating Series Test does not apply because the terms of the series do not alternate.
The Alternating Series Test does not apply because the absolute value of the terms are not
decreasing.
O The series converges by the Alternating Series Test.
The series diverges by the Alternating Series Test.
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