Examples of Finding Asymptotes
Examples of Finding Asymptotes
The line is a horizontal asymptote if either f(x)=H or f(x)=H.
y=H
lim
x∞
lim
x-∞
Similarly, the line is a vertical asymptote if either f(x)=±∞, f(x)=±∞ or f(x)=±∞.
x=V
lim
xV
lim
x
+
V
lim
x
-
V
In exploring the asymptotes in this Demonstration, note that functions can "touch" or cross over horizontal asymptotes.