In this video, a set of examples are explored where the radius of convergence of power series is calculated using the ratio test.

This video can be found on the MIT Opencourseware website, and carries a Creative Commons copyright (CC BY-NC-SA).

Power Series - Part 1

In this video, the instructor reviews basic definitions of a power series. It also presents two examples of determining the radius and interval of convergence of a series. The ratio, divergence, p-series, and alternating series convergence tests are applied.