Determine whether the following series converges absolutely, converges conditionally, or diverges. Σ 00 9 cos k 2k4 k=1 Does the series ak converge absolutely, converge conditionally, or diverge? O A. The series diverges because lim ak *0. k→∞ OB. The series converges conditionally because Σ ak converges but Σ ak diverges. OC. The series converges absolutely because Σ ak converges. O D. The series converges conditionally because Σ ak converges but Σak diverges. O E. The series diverges because Σak diverges. ...

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
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Determine whether the following series converges absolutely, converges conditionally, or diverges.
00
Σ
k=1
9 cos k
2k4
Does the series a converge absolutely, converge conditionally, or diverge?
O A. The series diverges because lim ak #0.
k→∞o
O B. The series converges conditionally because Σ ak converges but Σ ak diverges.
OC. The series converges absolutely because Σ ak converges.
OD. The series converges conditionally because Σ ak converges but Σak diverges.
O E. The series diverges because Σ ak diverges.
Transcribed Image Text:Determine whether the following series converges absolutely, converges conditionally, or diverges. 00 Σ k=1 9 cos k 2k4 Does the series a converge absolutely, converge conditionally, or diverge? O A. The series diverges because lim ak #0. k→∞o O B. The series converges conditionally because Σ ak converges but Σ ak diverges. OC. The series converges absolutely because Σ ak converges. OD. The series converges conditionally because Σ ak converges but Σak diverges. O E. The series diverges because Σ ak diverges.
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