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

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

Quote:

Originally Posted by

**david213** f(x)=x^2+4/x^2-5x-6

Given $\displaystyle \frac{x^2+4}{x^2-5x-6}$.

There are no zeros for the numerator.

Both $\displaystyle -1~\&~6$ are zeros for the denominator.

Start there.

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