How do you find the asymptotes for $f (x) = \frac{x}{x^{2} + 4}$ $f(x)=x/(x^2+4)$ ?

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Answer 1 · 2017-01-07T07:53:10

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

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

How do you find the asymptotes for f(x)=x/(x^2+4)f(x)=xx2+4f(x)=x/(x^2+4)?