∞ Does the series Σ (-1)" 2 n=1 n +7n +5 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 converges conditionally per the Alternating Series Test and because the limit used in the Root Test is OB. The series diverges because the limit used in the nth-Term Test does not exist. 1 O C. The series converges absolutely per the Comparison Test with OD. The series converges conditionally per the Alternating Series Test and because the limit used in the Ratio Test is OE. The series converges absolutely because the limit used in the Root Test is 1 OF. The series diverges per the Comparison Test with

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
∞
Does the series Σ
(-1)"
2
n=1 n +7n +5
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 converges conditionally per the Alternating Series Test and because the limit used in the Root Test is
OB. The series diverges because the limit used in the nth-Term Test does not exist.
1
O C. The series converges absolutely per the Comparison Test with
OD. The series converges conditionally per the Alternating Series Test and because the limit used in the Ratio Test is
OE. The series converges absolutely because the limit used in the Root Test is
1
OF. The series diverges per the Comparison Test with
Transcribed Image Text:∞ Does the series Σ (-1)" 2 n=1 n +7n +5 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 converges conditionally per the Alternating Series Test and because the limit used in the Root Test is OB. The series diverges because the limit used in the nth-Term Test does not exist. 1 O C. The series converges absolutely per the Comparison Test with OD. The series converges conditionally per the Alternating Series Test and because the limit used in the Ratio Test is OE. The series converges absolutely because the limit used in the Root Test is 1 OF. The series diverges per the Comparison Test with
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