Definition 3.3

Definition 3.3 (Left-Hand Limit) Let f be a function and c  R, then lim f(x) L - x c   iff (read “if and only if”) for each every  > 0 there exists  > 0, such that if c -  < x < c, then |f(x) – L| < . Definition 3.3 (Right-Hand Limit) Let f be a function and c R, then lim f(x) L x c    iff for each every  > 0 there exists  > 0, such that if c < x < c + , then |f(x) – L| < .