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

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Answer 1 · 2016-02-22T08:09:20

$y=0$ is a horizontal asymptote

Take the limit of $f(x)$ as x approaches $oo$

$Lim_(x->oo) f(x)=Lim_(x->oo) x/(x^2+4)=Lim_(x->oo) 1/(x+4/x)=0$

As $x->oo$ the function $y=f(x)->0$

then $y=0$ is a horizontal asymptote.

God bless you.

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