Chapter 2.2, Problem 19E

Evaluating limits graphically Sketch a graph of f and use it to make a conjecture about the values of $f\left(a\right),\underset{x\to a^{-}}{\lim }f\left(x\right),\underset{x\to a^{+}}{\lim }f\left(x\right)$ and $\underset{x\to a}{\lim }f\left(x\right)$ or state that they do not exist.

  19.     $f\left(x\right)=\{\begin{array}{cc}{x}^2+1& \text{if }x\le -1\\ 3& \text{if }x>-1\end{array};a=-1$