### Home > APCALC > Chapter 2 > Lesson 2.2.4 > Problem2-96

2-96.

Suppose $f$ and $g$ are both discontinuous at $x = 3$. Using the table below, for which of the functions does the limit as $x$ approaches $3$ appear to exist? Justify your answer.

 $x$ $2.8$ $2.9$ $2.99$ $3$ $3.01$ $3.1$ $3.2$ $f(x)$ $6.97$ $6.98$ $6.99$ $?$ $7.01$ $7.02$ $7.03$ $g(x)$ $6.97$ $6.98$ $6.99$ $?$ $7.99$ $7.98$ $7.97$

Limits exist when the limit from the left agrees with the limit from the right AND that limit is finite.