Consider the series n=1 (3x)" 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 n=1 (3x)" 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.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Question
q3
![Consider the series
n=1
(3x)"
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%2F94a8c4e4-19bc-47b7-a87a-74aaa704a9e7%2Fc115a801-2db0-45e3-b318-30c17202bcd9%2Favnx9n89_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the series
n=1
(3x)"
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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