Derivatives · Exercise 117

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 a limit as $x$ approaches $a,$ state it. If not, discuss why there is no limit

$f\left(x\right)=\{\begin{array}{ccc}{x}^3+1,& if& x<1\\ 3x^2-1,& if& x=1\\ -\sqrt{x+3}+4,& if& x>1\end{array}a=1$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Precalculus 2e · §12.4 Derivatives · Exercise 117