SEAMIC_Functions: Limits

In this video we discuss the concept of limits in calculus, specifically exploring how functions behave as they approach certain values. We examine three examples: a rational function with a vertical asymptote at x=-1, the Heaviside Function with a jump discontinuity at x=0, and another rational function with a vertical asymptote at x=3. Through these examples, we illustrate how to calculate limits from both the left and right sides of a point, and how this relates to the existence and value of the limit. We also review the theorem stating that a limit exists if and only if the left and right-hand limits exist and are equal.