#### Answer

$\frac{3}{2}$

#### Work Step by Step

Find $\lim\limits_{x \to \infty} \frac{3x-2}{2x+1}$
As $x \to \infty$, the $-2$ and $+1$ terms become negligible. The function therefore approaches the value $\frac{3x}{2x}$
Cancel out $x$ and the we get the limit to be $\frac{3}{2}$