Maximum and Minimum of Functions

This lecture covers the concept of limits of functions and the minimum and maximum of a continuous function on a compact subset. It discusses the properties of functions in detail, providing examples and explanations on how to determine the maximum and minimum values of a function. The lecture also explores the continuity of composite functions and the criteria for a function to be continuous. Additionally, it delves into the analysis of functions in a compact set, emphasizing the importance of understanding the behavior of functions within a bounded subset.