Continuous Functions on Closed Interval

This lecture covers the concept of continuous functions on a closed interval, defining them as functions that are continuous at a specific point within the interval. It explains the conditions for a function to be continuous on a closed interval, emphasizing the importance of understanding the definitions. The lecture also discusses the implications of a function being continuous on a closed interval, highlighting the differences between continuity at a point and over an interval. Various examples are provided to illustrate the concept, showcasing scenarios where functions are continuous or discontinuous at specific points. The instructor emphasizes the significance of grasping the definitions to comprehend the continuity of functions.