\(\begin{array}{l}\lim _{x \rightarrow 2} \frac{x^{3}-3 x-2}{x^{2}-4}=\lim _{x \rightarrow 2} \frac{(x-2)\left(x^{2}+2 x+1\right)}{(x-2)(\mathrm{x}+2)} \\ =\lim _{x \rightarrow 2} \frac{x^{2}+2 x+1}{\mathrm{x}+2}=\frac{9}{4}\end{array}\)