(- 1)^(n + 4)^ (4n)" 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. O A. The series converges absolutely because the limit used in the nth-Term Test is O B. The series diverges because the limit used in the nth-Term Test is different from zero. OC. The series diverges because the limit used in the Ratio Test is not less than or equal to 1. O D. The series converges absolutely because the limit used in the Root Test is O E. The series converges conditionally per the Alternating Series Test and because the limit used in the Ratio Test is OF. The series converges conditionally per the Alternating Series Test and because the limit used in the Root Test is

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 72E
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00
(- 1)^(n + 4)"
(4n)"
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.
O A. The series converges absolutely because the limit used in the nth-Term Test is
O B. The series diverges because the limit used in the nth-Term Test is different from zero.
O C. The series diverges because the limit used in the Ratio Test is not less than or equal to 1
O D. The series converges absolutely because the limit used in the Root Test is
O E. The series converges conditionally per the Alternating Series Test and because the limit used in the Ratio Test is
O F. The series converges conditionally per the Alternating Series Test and because the limit used in the Root Test is
Transcribed Image Text:00 (- 1)^(n + 4)" (4n)" 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. O A. The series converges absolutely because the limit used in the nth-Term Test is O B. The series diverges because the limit used in the nth-Term Test is different from zero. O C. The series diverges because the limit used in the Ratio Test is not less than or equal to 1 O D. The series converges absolutely because the limit used in the Root Test is O E. The series converges conditionally per the Alternating Series Test and because the limit used in the Ratio Test is O F. The series converges conditionally per the Alternating Series Test and because the limit used in the Root Test is
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