Determine whether the alternating series 80 Σ (-1)+1 2 converges or diverges. n=1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a geometric series with r = B. The series does not satisfy the conditions of the Alternating Series Test but diverges because the limit used in the Ratio Test is OC. The series does not satisfy the conditions of the Alternating Series Test but diverges because it is a p-series with r = D. The series does not satisfy the conditions of the Alternating Series Test but converges because the limit used in the Root Test is E. The series converges by the Alternating Series Test. OO
Determine whether the alternating series 80 Σ (-1)+1 2 converges or diverges. n=1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a geometric series with r = B. The series does not satisfy the conditions of the Alternating Series Test but diverges because the limit used in the Ratio Test is OC. The series does not satisfy the conditions of the Alternating Series Test but diverges because it is a p-series with r = D. The series does not satisfy the conditions of the Alternating Series Test but converges because the limit used in the Root Test is E. The series converges by the Alternating Series Test. OO
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:∞0
Determine whether the alternating series (-1)^²+12²
OO
n=1
converges or diverges.
Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
O A. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a geometric series with r =
B. The series does not satisfy the conditions of the Alternating Series Test but diverges because the limit used in the Ratio Test is
C. The series does not satisfy the conditions of the Alternating Series Test but diverges because it is a p-series with r =
D. The series does not satisfy the conditions of the Alternating Series Test but converges because the limit used in the Root Test is
E. The series converges by the Alternating Series Test.
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