### Home > PC > Chapter 5 > Lesson 5.2.3 > Problem5-72

5-72.

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

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

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

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

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