Sketch the graph of the following function and use it to determine the following limits. If a limit * does not exist, * type **DNE**.
f(x) =
\begin{cases}
x-2, &\text{for } x \le -1 \\
x^2+3, &\text{for } -1 < x \le 1 \\
5-x, &\text{for } x > 1
\end{cases}

** 1. ** \displaystyle \lim_{x \to -1^{-}}f(x) =

** 2. **

** 3. **

** 4. **

** 5. **

In order to get credit for this problem all answers must be correct.