# Chapter 3 - Applications of Differentiation - 3.4 Limits at Infinity; Horizontal Asymptotes - 3.4 Exercises - Page 242: 9

$\frac{3}{2}$

#### 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 $\frac{3}{2}$

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