An asymptote is the limiting position of a tangent to a curve where the point of contact is at an infinite distance from the origin.
![](/content/4990/AsyF1.gif)
The asymptote has the equation
![](/content/4990/eqn609.gif)
where
![](/content/4990/eqn610.gif)
![](/content/4990/eqn611.gif)
An asymptote is the limiting position of a tangent to a curve where the point of contact is at an infinite distance from the origin.
The asymptote has the equation
where