00 Does the series E (- 1)"n4 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 Ratio Test is not less than or equal to 1. O B. The series converges conditionally per the Alternating Series Test and because the limit used in the nth-Term Test is O C. The series converges conditionally per Alternating Series Test and because the limit used in the Ratio Test is O D. The series converges absolutely since the corresponding series of absolute values is geometric with Ir| = O E. The series converges absolutely because the limit used in the Ratio Test is OF. The series diverges because the limit used in the nth-Term Test does not exist.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section8.3: Geometric Sequences
Problem 98E
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Question
00
Does the series E
(- 1)"n4
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 Ratio Test is not less than or equal to 1.
O B. The series converges conditionally per the Alternating Series Test and because the limit used in the nth-Term Test is
O C. The series converges conditionally per Alternating Series Test and because the limit used in the Ratio Test is
O D. The series converges absolutely since the corresponding series of absolute values is geometric with Ir| =
O E. The series converges absolutely because the limit used in the Ratio Test is
OF. The series diverges because the limit used in the nth-Term Test does not exist.
Transcribed Image Text:00 Does the series E (- 1)"n4 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 Ratio Test is not less than or equal to 1. O B. The series converges conditionally per the Alternating Series Test and because the limit used in the nth-Term Test is O C. The series converges conditionally per Alternating Series Test and because the limit used in the Ratio Test is O D. The series converges absolutely since the corresponding series of absolute values is geometric with Ir| = O E. The series converges absolutely because the limit used in the Ratio Test is OF. The series diverges because the limit used in the nth-Term Test does not exist.
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