Consider the series 111 (8x)" n Find the interval of convergence of this power series by first using the ratio test to find its radius of convergence and then testing the series' behavior at the endpoints of the interval specified by the radius of convergence. interval of convergence = (Enter your answer as an interval: thus, if the interval of convergence were -3 < x≤ 5, you would enter (-3,5]. Use Inf for any endpoint at infinity.)
Consider the series 111 (8x)" n Find the interval of convergence of this power series by first using the ratio test to find its radius of convergence and then testing the series' behavior at the endpoints of the interval specified by the radius of convergence. interval of convergence = (Enter your answer as an interval: thus, if the interval of convergence were -3 < x≤ 5, you would enter (-3,5]. Use Inf for any endpoint at infinity.)
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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![Consider the series.
n=1
(82)"
N
Find the interval of convergence of this power series by first using the ratio test to find its radius of convergence and then testing the series' behavior at the endpoints of the interval specified by the radius of convergence.
interval of convergence =
(Enter your answer as an interval: thus, if the interval of convergence were -3 < x < 5, you would enter (-3,5]. Use Inf for any endpoint at infinity.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65e9754d-e7bf-4951-a913-18b478a6d2d4%2F1171cb0b-81b8-41c6-aed8-645c772c6d23%2Fam2j8ah_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the series.
n=1
(82)"
N
Find the interval of convergence of this power series by first using the ratio test to find its radius of convergence and then testing the series' behavior at the endpoints of the interval specified by the radius of convergence.
interval of convergence =
(Enter your answer as an interval: thus, if the interval of convergence were -3 < x < 5, you would enter (-3,5]. Use Inf for any endpoint at infinity.)
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