Does the series E (-1)"n 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 absolutely because the limit used in the Ratio Test is O B. The series converges absolutely since the corresponding series of absolute values is geometric with Ir| = O C. The series converges conditionally per the Alternating Series Test and because the limit used in the nth-Term Test is O D. The series diverges because the limit used in the nth-Term Test does not exist. O E. The series converges conditionally per Alternating Series Test and because the limit used in the Ratio Test is 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
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Does the series
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 absolutely because the limit used in the Ratio Test is.
O B. The series converges absolutely since the corresponding series of absolute values is geometric with Ir| =
O C. The series converges conditionally per the Alternating Series Test and because the limit used in the nth-Term Test is
O D. The series diverges because the limit used in the nth-Term Test does not exist.
O E. The series converges conditionally per Alternating Series Test and because the limit used in the Ratio Test is.
O F. 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 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 absolutely because the limit used in the Ratio Test is. O B. The series converges absolutely since the corresponding series of absolute values is geometric with Ir| = O C. The series converges conditionally per the Alternating Series Test and because the limit used in the nth-Term Test is O D. The series diverges because the limit used in the nth-Term Test does not exist. O E. The series converges conditionally per Alternating Series Test and because the limit used in the Ratio Test is. O F. The series diverges because the limit used in the Ratio Test is not less than or equal to 1.
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