Developing Limit Concepts

This lecture covers the concept of developing limits, focusing on the application of Taylor series to approximate functions around a point, as well as discussing the intricacies of functions with derivatives approaching zero. The instructor guides students through various exercises, emphasizing the importance of understanding how values change near a constant and showcasing the process of deriving and evaluating functions at specific points. Through examples and explanations, students explore the nuances of developing limits and gain insights into effectively utilizing Taylor series for accurate approximations.