∞ Does the series Σ (-1)" 2 n=1 n +7n +5 converge absolutely, converge conditionally, or diverge? Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. OA. The series converges conditionally per the Alternating Series Test and because the limit used in the Root Test is OB. The series diverges because the limit used in the nth-Term Test does not exist. 1 O C. The series converges absolutely per the Comparison Test with OD. The series converges conditionally per the Alternating Series Test and because the limit used in the Ratio Test is OE. The series converges absolutely because the limit used in the Root Test is 1 OF. The series diverges per the Comparison Test with

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
Question
∞
Does the series Σ
(-1)"
2
n=1 n +7n +5
converge absolutely, converge conditionally, or diverge?
Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
OA. The series converges conditionally per the Alternating Series Test and because the limit used in the Root Test is
OB. The series diverges because the limit used in the nth-Term Test does not exist.
1
O C. The series converges absolutely per the Comparison Test with
OD. The series converges conditionally per the Alternating Series Test and because the limit used in the Ratio Test is
OE. The series converges absolutely because the limit used in the Root Test is
1
OF. The series diverges per the Comparison Test with
Transcribed Image Text:∞ Does the series Σ (-1)" 2 n=1 n +7n +5 converge absolutely, converge conditionally, or diverge? Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. OA. The series converges conditionally per the Alternating Series Test and because the limit used in the Root Test is OB. The series diverges because the limit used in the nth-Term Test does not exist. 1 O C. The series converges absolutely per the Comparison Test with OD. The series converges conditionally per the Alternating Series Test and because the limit used in the Ratio Test is OE. The series converges absolutely because the limit used in the Root Test is 1 OF. The series diverges per the Comparison Test with
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning