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We want to use the Alternating Series Test to determine if the series: cos² (**)_~_~(*))) k 3k k=1 sin² converges or diverges. We can conclude that: O The series converges by the Alternating Series Test. The Alternating Series Test does not apply because the absolute value of the terms are decreasing. The series diverges by the Alternating Series Test. OT

We want to use the Alternating Series Test to determine if the series: cos² (**)_~_~(*))) k 3k k=1 sin² converges or diverges. We can conclude that: O The series converges by the Alternating Series Test. The Alternating Series Test does not apply because the absolute value of the terms are decreasing. The series diverges by the Alternating Series Test. OT

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 19RE
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We want to use the Alternating Series Test to determine if the series: sin² (1) S² (1) k 3k Σ 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.
Transcribed Image Text:We want to use the Alternating Series Test to determine if the series: sin² (1) S² (1) k 3k Σ 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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