Taylor Series: Basics and Applications

This lecture covers the fundamentals of Taylor series, including the concept of developing functions into power series. It explores the calculation of limits using Taylor series and provides examples of applying Taylor series to functions like sine and cosine. The lecture also delves into the composition and product of Taylor series, showcasing how to derive tangents and explore the relationship between different functions. The instructor demonstrates the application of Taylor series in approximating functions and emphasizes the importance of understanding Taylor series for various mathematical calculations.