Does the series (-1)^n²" 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 conditionally per the Alternating Series Test and because the limit used in the nth-Term Test is OB. The series converges absolutely since the corresponding series of absolute values is geometric with |r] = O C. The series diverges because the limit used in the nth-Term Test does not exist. D. The series converges absolutely because the limit used in the Ratio Test is E. The series diverges because the limit used in the Ratio Test is not less than or equal to 1. OF. The series converges conditionally per Alternating Series Test and because the limit used in the Ratio Test is
Does the series (-1)^n²" 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 conditionally per the Alternating Series Test and because the limit used in the nth-Term Test is OB. The series converges absolutely since the corresponding series of absolute values is geometric with |r] = O C. The series diverges because the limit used in the nth-Term Test does not exist. D. The series converges absolutely because the limit used in the Ratio Test is E. The series diverges because the limit used in the Ratio Test is not less than or equal to 1. OF. The series converges conditionally per Alternating Series Test and because the limit used in the Ratio Test is
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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Transcribed Image Text:00
n
Does the series (-1)^n²
Σ 1)^n² (²)"
n=1
converge absolutely, converge conditionally, or diverge?
Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
O A. The series converges conditionally per the Alternating Series Test and because the limit used in the nth-Term Test is
OB. The series converges absolutely since the corresponding series of absolute values is geometric with |r|=
O C. The series diverges because the limit used in the nth-Term Test does not exist.
D. The series converges absolutely because the limit used in the Ratio Test is
O E. The series diverges because the limit used in the Ratio Test is not less than or equal to 1.
OF. The series converges conditionally per Alternating Series Test and because the limit used in the Ratio Test is
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