00 n Does the series (-1)"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 does not exist. O B. The series diverges because the limit used in the Ratio Test is not less than or equal t 1. C. The series converges absolutely 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 conditionally per the Alternating Series Test and because the limit used in the nth-Term Test is OF The series converges conditionally per Alternating Series Test and because the limit used in the Ratio Test is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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Question
Does the series 2 (- 1)"n"
2
4
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 does not exist.
O B. The series diverges because the limit used in the Ratio Test is not less than or equal to 1
OC. The series converges absolutely 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 r =.
%3D
O E. The series converges conditionally per the Alternating Series Test and because the limit used in the nth-Term Test is
OE The series converges conditionally per Alternating Series Test and because the limit used in the Ratio Test is
Transcribed Image Text:Does the series 2 (- 1)"n" 2 4 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 does not exist. O B. The series diverges because the limit used in the Ratio Test is not less than or equal to 1 OC. The series converges absolutely 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 r =. %3D O E. The series converges conditionally per the Alternating Series Test and because the limit used in the nth-Term Test is OE The series converges conditionally per Alternating Series Test and because the limit used in the Ratio Test is
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