= 8 Does the series (-1)" n=1 (3n)! 7nin converge absolutely, converge conditionally, or diverge? BAL Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. OA. The series diverges because the limit used in the nth-Term Test is different from zero. B. The series converges absolutely because the limit used in the Ratio Test is O OC. The series diverges because the corresponding series of absolute values is a p-series with p= OD. The series converges absolutely because the corresponding series of absolute values is geometric with [r]= O E. The series converges conditionally per 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 Point

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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=
80
Does the series (-1)"
n=1
(3n)!
7nin
converge absolutely, converge conditionally, or diverge?
Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
OA. The series diverges because the limit used in the nth-Term Test is different from zero.
B. The series converges absolutely because the limit used in the Ratio Test is
O
OC. The series diverges because the corresponding series of absolute values is a p-series with p=
OD. The series converges absolutely because the corresponding series of absolute values is geometric with [r]=
O E. The series converges conditionally per 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
Point
Transcribed Image Text:= 80 Does the series (-1)" n=1 (3n)! 7nin converge absolutely, converge conditionally, or diverge? Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. OA. The series diverges because the limit used in the nth-Term Test is different from zero. B. The series converges absolutely because the limit used in the Ratio Test is O OC. The series diverges because the corresponding series of absolute values is a p-series with p= OD. The series converges absolutely because the corresponding series of absolute values is geometric with [r]= O E. The series converges conditionally per 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 Point
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