CPM Homework Help : PC Problem 5-72

Write limit statements corresponding to the table of values. Include the limits from the left, from the right, and at the point.

$x$	$2.9$	$2.99$	$2.999$	….	$3$	….	$3.001$	$3.01$	$3.1$
$f(x)$	$−2.11$	$−2.05$	$−2.01$				$−0.989$	$−0.97$	$−0.7$

Answer from left:

$\lim\limits_{x\rightarrow -3^{-}}f(x)=-2$

Hint from right:

$\lim\limits_{x\rightarrow -3^{+}}f(x)= ?$

Hint:

If the limits are the same from both sides, then the limit exists. Otherwise, it does not exist.