1. ## Limits

1.) Compute the following limit.

The limit is approaching infinity. The equation is 5x+3 over 3x-2

2. $\displaystyle \lim_{x\rightarrow\infty}\frac{5x+3}{3x-2}$

$\displaystyle =\lim_{x\rightarrow\infty}\frac{\frac{5x}{x}+\frac {3}{x}}{\frac{3x}{x}-\frac{2}{x}}$

Note that x approches infinity , 1/x approaches 0 .

$\displaystyle \lim_{x\rightarrow\infty}\frac{5x+3}{3x-2}$
$\displaystyle =\lim_{x\rightarrow\infty}\frac{\frac{5x}{x}+\frac {3}{x}}{\frac{3x}{x}-\frac{2}{x}}$