Let
8
if $x < -3$
f(x) = \begin{cases} -x+5 & \text{if } -3 \le x < 3\\ -3 & \text{if } x = 3\\ 5 & \text{if } x > 3 \end{cases}
Sketch the graph of this function and find the following limits, if they exist.
(If a limit does not exist, enter DNE.)
1. $\lim_{x \to -3^-} f(x) =$
2. $\lim_{x \to -3^+} f(x) =$
3. $\lim_{x \to -3} f(x) =$
4. $\lim_{x \to 3^-} f(x) =$
5. $\lim_{x \to 3^+} f(x) =$
6. $\lim_{x \to 3} f(x) =$
