Calculus limits and continuity / discontinuity introductory lesson. What is a limit by definition and how does it relate to a function? How to evaluate limits at x=c and also to infinity. Students evaluate limits both algebraically and graphically, and learn what it means to be continuous at x=c and within a given interval. When do limits exist vs. not exist? Students are also introduced the definitions of each type of discontinuity, and learn how to evaluate a limit of a jump discontinuity, as