# Math Help - How do you find the limits, holes, and vertical asymptotes of rational functions?

1. ## How do you find the limits, holes, and vertical asymptotes of rational functions?

f(x)=x^2+4/x^2-5x-6

2. ## Re: How do you find the limits, holes, and vertical asymptotes of rational functions?

Originally Posted by david213
f(x)=x^2+4/x^2-5x-6
Given $\frac{x^2+4}{x^2-5x-6}$.
There are no zeros for the numerator.
Both $-1~\&~6$ are zeros for the denominator.
Start there.

3. ## Re: How do you find the limits, holes, and vertical asymptotes of rational functions?

f(x)=x^2+4/(x-6)(x+1)

The vertical asymptotes are x=-1 x=6