Derivable Functions: Limits and Continuity

This lecture discusses the concept of derivable functions, focusing on limits, continuity, and differentiability. It covers topics such as the existence of limits, bounded sequences, Bolzano-Weierstrass theorem, and the application of the Intermediate Value Theorem. The instructor explains the relationship between continuity and differentiability, emphasizing the importance of understanding the behavior of functions at specific points. Various examples and demonstrations are provided to illustrate the theoretical concepts discussed.