Answer
$\displaystyle \frac{3}{2}$
Work Step by Step
This is a limit at infinity. Use Theorem 10.2.
(use only the highest powers)
$\displaystyle \lim_{x\rightarrow-\infty}f(x)=\lim_{x\rightarrow-\infty}\frac{3x^{2}}{2x^{2}}$=...reduce...
$=\displaystyle \lim_{x\rightarrow-\infty}\frac{3}{2}=\frac{3}{2}$
