# Math Help - Find radius of convergence and interval of convergence for the following series?

1. ## Find radius of convergence and interval of convergence for the following series?

Find the radius of convergence and interval of convergence of the following series.

2. ## Re: Find radius of convergence and interval of convergence for the following series?

Please tell us what you have tried.

To get the radius of convergence, you almost always use the ratio test. For what values of x is the limit of the ratio of consecutive terms 1?

- Hollywood

3. ## Re: Find radius of convergence and interval of convergence for the following series?

Originally Posted by hollywood
Please tell us what you have tried.

To get the radius of convergence, you almost always use the ratio test. For what values of x is the limit of the ratio of consecutive terms 1?

- Hollywood
For what values of x is the limit of the ratio of consecutive terms LESS THAN 1?

4. ## Re: Find radius of convergence and interval of convergence for the following series?

Oops - yeah, less than 1. Thanks, Prove It.