# How do you find the asymptotes for  y= (x+1)^2 / ((x-1)(x-3))?

Mar 7, 2016

Vertical Asymptotes: $x = 1 , 3$
Horizontal asymptotes:$y = 1$

#### Explanation:

To find the vertical asymptotes take the denominator and set it equal to 0 and solve for x.
To find the horizontal asymptote find the limit as x goes to infinity in both directions so we use the end behavior rule and take the highest degree term from the top which will be ${x}^{2}$ and the highest degree term from the bottom which is also ${x}^{2}$ and divide them. Hence y=1 is the horizontal asymptote.