Question

How do you find the asymptotes for `f(x)=x/(x^2+4)`?

Answer 1

horizontal asymptote: `y=0`;
no vertical and slant asymptotes.

Explanation:

1) There are no vertical asymptotes since the domain is R

2) `lim_(x->oo)x/(x^2+4)=0`, then there's a horizontal asymptote that's the x-axis

3) since there's a horizontal asymptote, there's not a slant asymptote