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.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.4: Series And Their Notations

Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+

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Question

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 Questions

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Follow-up Question

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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