What are the asymptotes for #f(x)= x/(x(x-2))#?
So there's one vertical asymptote (simple pole) at
The horizontal asymptote is
For any rational expression with polynomial numerator and denominator, there are usually vertical asymptotes whenever the denominator is zero.
Here we see an exception to that in that both the numerator and denominator of
we can see that
resulting in a horizontal asymptote