# How do you find the horizontal asymptote for #y=(13x)/(x+34)#?

##### 1 Answer

Dec 7, 2015

Find

#### Explanation:

One way is to divide both numerator and denominator by

#f(x) = (13x)/(x+34) = 13/(1+34/x)#

So

and

So the horizontal asymptote is

In general if

For example:

#lim_(x->oo) (3x^2+4x-5)/(2x^2-11x+1)=lim_(x->oo) (3+4/x-5/(x^2))/(2-11/x+1/(x^2)) = 3/2#