Asymptote

A line [math]y=b[/math] is called a horizontal asymptote of a function [math]f[/math] if either[math]lim_{x\longrightarrow+\infty}f\left(x\right)=b[/math] or [math]\text{ }lim_{x\longrightarrow-\infty}f\left(x\right)=b[/math][br]A line [math]x=a[/math] is called a horizontal asymptote of a function [math]f[/math] if either[math]lim_{x\longrightarrow a^+^+}f\left(x\right)=\pm\infty[/math] or [math]\text{ }lim_{x\longrightarrow a^-}f\left(x\right)=\pm\infty[/math]
Choose proper function from drop down menu. The asymptotes will be drawn automatically in the graph and corresponding equation shall be drawn on graphic window(right side)

Information: Asymptote