How do you find the horizontal asymptote for #(3x-2) / (x+1) #?
Horizontal asymptotes are always trickier than vertical asymptotes.
To find the horizontal asymptotes we must look at the highest powers in the numerator and the denominator. The highest powers are both
The horizontal asymptotes is therefore
Plug in 3 for y.
So, x has no solution because division by 0 is undefined. This confirms that our horizontal asymptote is at
Find the horizontal asymptote of
By intuition, what do you think would be the horizontal asymptote in