A function $f$ defined on $-4 < x < 4$ is given by the graph below. Note: to the right of $x = 2$, the graph of $f$ is exhibiting infinite oscillatory behavior similar to the function $\sin(\pi/x)$.

Determine each of the following limits. If a limit does not exist, enter DNE.

$\displaystyle{\lim_{x\rightarrow -3} f(x) = }$

$\displaystyle{\lim_{x\rightarrow -2} f(x) = }$

$\displaystyle{\lim_{x\rightarrow -1} f(x) = }$

$\displaystyle{\lim_{x\rightarrow 0} f(x) = }$

$\displaystyle{\lim_{x\rightarrow 1} f(x) = }$

$\displaystyle{\lim_{x\rightarrow 2} f(x) = }$

$\displaystyle{\lim_{x\rightarrow 3} f(x) = }$