Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture discusses the relationship between the existence of a limit and continuity in functions. It covers the concept that a function's derivative is not arbitrary and cannot be the derivative of any function. The lecture also explores the implications of the function's graph being a derivative function, leading to the value at a specific point. Theorem 8.2 is presented, defining the conditions for a function to be continuous and differentiable within a given interval. The demonstration further illustrates the application of the theorem in determining the continuity and differentiability of functions.