00 cos nA Does the series 2 n/n converge absolutely, converge conditionally, or diverge? n=1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. The series diverges because the limit used in the nth-Term Test is different from zero. O B. The series converges absolutely because its corresponding series of absolute values is a p-series with p = O C. The series converges absolutely because the limit used in the Root Test is O D. The series diverges because the limit used in the Ratio Test is not less than or equal to 1. O E. The series converges conditionally per the Alternating Series Test and because the corresponding series of absolute values is a geometric series with r=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 43E
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Question
cos Nt
Does the series >
converge absolutely, converge conditionally, or diverge?
n = 1
Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
A. The series diverges because the limit used in the nth-Term Test is different from zero.
B. The series converges absolutely because its corresponding series of absolute values is a p-series with p =
O C. The series converges absolutely because the limit used in the Root Test is
D. The series diverges because the limit used in the Ratio Test is not less than or equal to 1.
O E. The series converges conditionally per the Alternating Series Test and because the corresponding series of absolute values is a geometric series with r =
Transcribed Image Text:cos Nt Does the series > converge absolutely, converge conditionally, or diverge? n = 1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The series diverges because the limit used in the nth-Term Test is different from zero. B. The series converges absolutely because its corresponding series of absolute values is a p-series with p = O C. The series converges absolutely because the limit used in the Root Test is D. The series diverges because the limit used in the Ratio Test is not less than or equal to 1. O E. The series converges conditionally per the Alternating Series Test and because the corresponding series of absolute values is a geometric series with r =
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9781133382119
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Swokowski
Publisher:
Cengage