What are the asymptotes for $x/(x^2+x-6)$ ?

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Answer 1 · 2015-09-21T02:18:20

Refer to explanation

We see that as $x->+-oo$ , $x/(x^2+x-6)->0$ hence $y=0$ horizontal asymptote.

and as $x->2$ , $x/(x^2+x-6)->oo$ and

$x->-3$ , $x/(x^2+x-6)->oo$

so vertical asymptote are $x=2,x=-3$

What are the asymptotes for x/(x^2+x-6)x/(x^2+x-6)?