# How do I find the limit of a rational function?

Jul 23, 2015

First start by putting the limiting values for the independent variable.
If the denominator becomes zero, then consider factoring the numerator and denominator and cancelling the common terms.

#### Explanation:

If both numerator and denominator come zero or infinity, try considering the L'Hospital rule.

$L i m x \to a$ $\left(f \frac{x}{g} \left(x\right)\right)$ = $L i m x \to a$ $\left(\frac{f ' \left(x\right)}{g ' \left(x\right)}\right)$

You may repeat it as many times you like to get the desired limit.