00 (-1)"(n + 1)" Does the series> converge absolutely, converge conditionally, or diverge? (2n)" n=1 Choose 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 Re B. The series diverges because the limit used in the Ratio Test is not less than or equal to 1. O C. The series converges absolutely because the limit used in the Root Test is O D. The series diverges because the limit used in the nth-Term Test is different from zero.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 82E
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Question
00
(- 1)"(n + 1)"
Does the series
converge absolutely, converge conditionally, or diverge?
(2n)"
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 Ratio Test is not less than or equal to 1.
O C. The series converges absolutely because the limit used in the Root Test is
O D. The series diverges because the limit used in the nth-Term Test is different from zero.
O E. The series converges absolutely because the limit used in the nth-Term Test is
OF The series converges conditionally per the Alternating Series Test and because the limit used in the Ratio Test is
Click to select and enter your answer(s).
Transcribed Image Text:00 (- 1)"(n + 1)" Does the series converge absolutely, converge conditionally, or diverge? (2n)" 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 Ratio Test is not less than or equal to 1. O C. The series converges absolutely because the limit used in the Root Test is O D. The series diverges because the limit used in the nth-Term Test is different from zero. O E. The series converges absolutely because the limit used in the nth-Term Test is OF The series converges conditionally per the Alternating Series Test and because the limit used in the Ratio Test is Click to select and enter your answer(s).
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