Definition:Continuous Real Function/Class

Definition
The class of continuous real functions is often denoted $C$.

Hence:
 * $\map f x \in C$ at $a$


 * $\ds \lim_{x \mathop \to a} \map f x = \map f a$
 * $\ds \lim_{x \mathop \to a} \map f x = \map f a$