Find the radius of convergence and the interval of convergence of the series.  Test the endpoints.   [summation symbol from n=1 to infinity] (x-3)n/3nn!   I am resubmitting this question.  I did not like the original answer.  Please show the steps of applying the ratio test to this series.  I came up with a radius of convergence of 3 and interval of convergence of [0,6].  I believe it does converge at both endpoints.  Thanks!

College Algebra
1st Edition
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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Find the radius of convergence and the interval of convergence of the series.  Test the endpoints.

 

[summation symbol from n=1 to infinity] (x-3)n/3nn!

 

I am resubmitting this question.  I did not like the original answer.  Please show the steps of applying the ratio test to this series.  I came up with a radius of convergence of 3 and interval of convergence of [0,6].  I believe it does converge at both endpoints.  Thanks!

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