pes the series E (- 1)n+ 1_^_ n+2 converge absolutely, converge conditionally, or diverge? n-1 hoose the correct answer below and, if necessary, fill in the answer box to complete your choice. ) A. The series converges conditionally per the Alternating Series Test and because the limit used in the Root Test is O B. The series diverges because the limit used in the nth-Term Test is different from zero. ) C. The series converges absolutely because the limit used in the Root Test is ) D. The series converges absolutely because the limit used in the Ratio Test is DE. The series converges conditionally per Alternating Series Test and the Comparison Test with E 00 n+2 n= 1 O F. The series diverges because the limit used in the Ratio Test is not less than or equal to 1.

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
Does the series (- 1)" +1.
n+2
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 conditionally per the Alternating Series Test and because the limit used in the Root Test is
O B. The series diverges because the limit used in the nth-Term Test is different from zero.
O C. The series converges absolutely because the limit used in the Root Test is
O D. The series converges absolutely because the limit used in the Ratio Test is
OE.
The series converges conditionally per Alternating Series Test and the Comparison Test with E
n+2
n = 1
OF. The series diverges because the limit used in the Ratio Test is not less than or equal to 1.
Transcribed Image Text:Does the series (- 1)" +1. n+2 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 conditionally per the Alternating Series Test and because the limit used in the Root Test is O B. The series diverges because the limit used in the nth-Term Test is different from zero. O C. The series converges absolutely because the limit used in the Root Test is O D. The series converges absolutely because the limit used in the Ratio Test is OE. The series converges conditionally per Alternating Series Test and the Comparison Test with E n+2 n = 1 OF. The series diverges because the limit used in the Ratio Test is not less than or equal to 1.
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