E(-10+12+n? Does the series > (- 1)n +1- n3 00 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 per the Comparison Test with E n3 n=1 O B. The series converges conditionally per the Alternating Series Test and the Comparison Test with n=1 OC. The series converges conditionally per the Alternating Series Test and because the limit used in the Ratio Test is O D. The series converges absolutely because the limit used in the nth-Term Test is O E. The series diverges because the limit used in the Ratio Test is not less than or equal to 1. O F. The series diverges because the limit used in the nth-Term Test does not exist.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.1: Sequences And Series
Problem 9ECP: For the series i=1510i find (a) the fourth partial sum and (b) the sum. Notice in Example 9(b) that...
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00
Does the series E (- 1)n +12 + n²
n3
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.
А.
2
The series converges absolutely per the Comparison Test with
n= 1
В.
The series converges conditionally per the Alternating Series Test and the Comparison Test with
n= 1
O C. The series converges conditionally per the Alternating Series Test and because the limit used in the Ratio Test is
O D. The series converges absolutely because the limit used in the nth-Term Test is
O E. The series diverges because the limit used in the Ratio Test is not less than or equal to 1.
O F. The series diverges because the limit used in the nth-Term Test does not exist.
Transcribed Image Text:00 Does the series E (- 1)n +12 + n² n3 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. А. 2 The series converges absolutely per the Comparison Test with n= 1 В. The series converges conditionally per the Alternating Series Test and the Comparison Test with n= 1 O C. The series converges conditionally per the Alternating Series Test and because the limit used in the Ratio Test is O D. The series converges absolutely because the limit used in the nth-Term Test is O E. The series diverges because the limit used in the Ratio Test is not less than or equal to 1. O F. The series diverges because the limit used in the nth-Term Test does not exist.
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