Power Series | Power Series & Interval of Convergence: Example 1

This video tutorial explains how to determine the interval of convergence for a power series using the ratio test. It covers the steps to find the limit L, set it less than one, and evaluate the endpoints for convergence. The video provides a detailed walkthrough of the algebraic simplifications and checks required to determine if the power series converges within a specific interval of X values.

Describe the importance of the ratio test in finding the interval of convergence.

Explain the process of checking the endpoints for convergence.

What conclusion can be drawn about the endpoint X = -7?

What is the final conclusion regarding the interval of convergence?