  # 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!

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
Step 3

Proving convergence at all re...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

### Other 