Continuity at one point.

Definition 5.1.1   Let $ f$ be a function defined on a neighborhood of the real number $ x_0$ . The function $ f$ is continuous at $ x_0$ if it has a limit at $ x_0$ and if this limit is equal to $ f(x_0)$ . If $ f$ is not continuous at $ x_0$ , it is said discontinuous at $ x_0$ .

Example 5.1.2       



Noah Dana-Picard 2007-12-28