00 (3n) 7nin Does the series Σ1-1). 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 OA. The series converges absolutely because the corresponding series of absolute values is geometric with r OB. The series converges conditionally per the Alternating Series Test and because the limit used in the Root Test is OC. The series converges conditionally per Alternating Series Test and because the limit used in the Ratio Test is D. The series diverges because the corresponding series of absolute values is a p-series with p= OE. 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 is different from zero

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
00
(3n)
7nin
Does the series (-1)- 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
OA. The series converges absolutely because the corresponding series of absolute values is geometric with [r]=
OB. The series converges conditionally per the Alternating Series Test and because the limit used in the Root Test is
OC. The series converges conditionally per Alternating Series Test and because the limit used in the Ratio Test is
D. The series diverges because the corresponding series of absolute values is a p-series with p=
OE. 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 is different from zero
Transcribed Image Text:00 (3n) 7nin Does the series (-1)- 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 OA. The series converges absolutely because the corresponding series of absolute values is geometric with [r]= OB. The series converges conditionally per the Alternating Series Test and because the limit used in the Root Test is OC. The series converges conditionally per Alternating Series Test and because the limit used in the Ratio Test is D. The series diverges because the corresponding series of absolute values is a p-series with p= OE. 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 is different from zero
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