# Math Help - Limits

1. ## Limits

1.) Compute the following limit.

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

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

$
=\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 .

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

$
=\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 .
You made a tiny error I believe. When writing everything over x, the 5x should be 5x^2 and the 3x should be 3x^2,but you don't need to write them like this to solve this limit which should be 5/3