Taylor Series: Finding Remainders

This lecture discusses the concept of Taylor series and how to find the remainder order when approximating functions. It covers examples of limits with Taylor series, operations on Taylor series, and convergence criteria. The instructor explains the process of determining the order of the remainder and the convergence of Taylor series. Additionally, the lecture explores the convergence of Taylor series and the importance of writing conclusions in a specific order. The discussion also includes examples of limits with Taylor series and the significance of geometric series in the context of Taylor series.