Consider the series (4x)n n n=1 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 (-3.51. Use Inf for any endpoint at infinity.)

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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Consider the series
(4x)n
n
n=1
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.)
Transcribed Image Text:Consider the series (4x)n n n=1 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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