Answer
$$-\infty $$
Work Step by Step
When $ x $ approaches 2 from the left then $ x-2$ approaches 0 from the left because $\mathrm{x}$ is always a "little" less then $2,$ so $ x-2<0$, and thus
$$\lim _{x \rightarrow 2^{-}} \frac{3}{2- x}=- \infty $$
