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}/3^{n}n!

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!

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

Step 3

Proving convergence at all re...

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