How to calculate this limit of a function defined in pieces in x=4?

Question

I am sure that the result is indeterminate, but I am missing the foundation.

Let f:R->R , such that

$$f(x)=\left\{\begin{matrix} & & \\ x , x<0 & & \\ 3-x , 0 \leqslant x <4 & & \\ 2 ,x \geqslant 4 \end{matrix}\right.$$

that we can say about $$ \lim x\rightarrow 4 f(x)$$

Answer 1

Hint: Compute $\lim{x\to 4^{-}} f(x)$ and $\lim{x\to 4^{+}} f(x).$ If they are equal then $\lim_{x\to 4} f(x)$ will be exist.