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!

Question

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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