Consider the series Σ n=1 (2x)n n2 A) According to the Ratio Test, for what two values of x is the test inconclusive? B) Test the two values of x which were identified in Part(d) for convergence or divergence? Justify your answers.
Consider the series Σ n=1 (2x)n n2 A) According to the Ratio Test, for what two values of x is the test inconclusive? B) Test the two values of x which were identified in Part(d) for convergence or divergence? Justify your answers.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 37E
Related questions
Question
![Consider the series
Σ
n=1
(2x)n
n2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee5a4480-7f7a-48f4-b92c-392aa82cc5b7%2F3e27f3ed-d06d-4e2e-b201-7f7657bf68a5%2F02fc3jk_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the series
Σ
n=1
(2x)n
n2
![A)
According to the Ratio Test, for what two values of x is the test inconclusive?
B)
Test the two values of x which were identified in Part(d) for convergence or
divergence? Justify your answers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee5a4480-7f7a-48f4-b92c-392aa82cc5b7%2F3e27f3ed-d06d-4e2e-b201-7f7657bf68a5%2Fuzb7359_processed.png&w=3840&q=75)
Transcribed Image Text:A)
According to the Ratio Test, for what two values of x is the test inconclusive?
B)
Test the two values of x which were identified in Part(d) for convergence or
divergence? Justify your answers.
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