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}
2+\sin x, &\text{if } x < 0 \\
2 \cos x, &\text{if } 0 \le x \le \pi \\
2 \sin x, &\text{if } x > \pi
\end{cases}

** 1. ** \displaystyle \lim_{x \to 0^{-}}f(x) =

** 2. **

** 3. **

** 4. **

** 5. **

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