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
Asked Apr 27, 2019

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!

check_circleExpert Solution
Step 1

To find the radius of convergence and interval of convergence of the given series. It is desired to apply the ratio test

Step 2
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Step 3

Proving convergence at all re...

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