Answer the following questions about limits at a point.

MATHEMATICS · Multi-part · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Answer the following questions about limits at a point. (i) Define the left-hand limit of a function at a point

a

. (ii) Define the right-hand limit of a function at the same point

a

. (iii) State the necessary and sufficient condition for the existence of

\displaystyle \lim_{x\to a} f(x)