Lecture
This lecture covers the concept of derivatives and limits in Analysis I. Starting with basic connections and examples, the instructor explains the application of L'Hôpital's rule and the behavior of functions in the neighborhood of a point. The lecture delves into the calculation of limits using various techniques, such as L'Hôpital's rule and polynomial expansions. By the end, students will have a solid understanding of derivatives, limits, and their applications in calculus.