Limits and Continuity

This lecture covers the definition of limits using epsilon-delta, continuity on open and closed intervals, and examples of functions' continuity. It also explores the concept of continuous functions and the comparison of functions' behavior. The lecture delves into elementary functions, their construction, and their continuity properties, emphasizing the importance of understanding the continuity of functions. The instructor demonstrates the application of continuity definitions and properties through various examples, highlighting the significance of continuous functions in mathematical analysis.