CPM Homework Help : APCALC Problem 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.

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

Hint:

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