Derivatives · Review Exercise 74

With the use of a graphing utility, use numerical or graphical evidence to determine the left- and right-hand limits of the function given as $x$ approaches $a.$ If the function has limit as $x$ approaches $a,$ state it. If not, discuss why there is no limit.

$f\left(x\right)=\{\begin{array}{ccc}\left|x\right|-1,& if& x\ne 1\\ x^3,& if& x=1\end{array}a=1$

OpenStax, Precalculus 2e · §12.4 Derivatives · Review Exercise 74