Consider the series 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 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Consider the series
n=1
(2x)n
n2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8d5383ed-d077-4059-8f76-ca44e4d16869%2Fabc2f8e5-6e6c-493d-ade1-9a572a4894c8%2Ft9ukvn9_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the series
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%2F8d5383ed-d077-4059-8f76-ca44e4d16869%2Fabc2f8e5-6e6c-493d-ade1-9a572a4894c8%2Fmi6dt3j_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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