12.4 Exercise 97

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.

$f \left(x\right) = \left\{\right. \begin{matrix}\sqrt{x + 3} , & i f & x < 1 \\ - \sqrt[3]{x} , & i f & x > 1\end{matrix} \textrm{ }\textrm{ } a = 1$