Does the series (-1)k +1_ k=1 6 k +4 converge absolutely, converge conditionally, or diverge? Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The series converges absolutely because the limit used in the Divergence Test is B. The series converges absolutely because of the Comparison Test with ∞ 1 k = 1 k C. The series converges conditionally because of the Alternating Series Test and the Comparison Test with D. The series diverges because the limit used in the Divergence Test is not zero. k=1 k

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...
icon
Related questions
Question

Does the series below converge​ absolutely, converge​ conditionally, or​ diverge?

k²
Does the series (-1)k +1. converge absolutely, converge conditionally, or diverge?
6
k +4
k=1
Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
A. The series converges absolutely because the limit used in the Divergence Test is
1
B. The series converges absolutely because of the Comparison Test with
k = 1 k
4
C. The series converges conditionally because of the Alternating Series Test and the Comparison Test with
O D. The series diverges because the limit used in the Divergence Test is not zero.
IM8
TA! -
k=1 k
Transcribed Image Text:k² Does the series (-1)k +1. converge absolutely, converge conditionally, or diverge? 6 k +4 k=1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The series converges absolutely because the limit used in the Divergence Test is 1 B. The series converges absolutely because of the Comparison Test with k = 1 k 4 C. The series converges conditionally because of the Alternating Series Test and the Comparison Test with O D. The series diverges because the limit used in the Divergence Test is not zero. IM8 TA! - k=1 k
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage