Power Series | Power Series & Interval of Convergence: Example 2

The video tutorial explains how to determine the interval of convergence for a power series using the root test. It begins with an introduction to the series and discusses why the root test is preferred in this case. The tutorial then walks through the calculation of the limit, evaluates it, and concludes that the series converges for all values of x, resulting in an infinite radius of convergence. The video emphasizes that this is a straightforward case and highlights the significance of the result.

How does the result of the limit affect the interval of convergence for the power series?

What conclusion can be drawn about the radius of convergence based on the limit evaluated?