Line in which the distance to any given point of a curve tends toward zero when this point moves away on the curve infinitely (in the positive or negative direction of the independent variable).
Properties
A horizontal asymptote is a line that is parallel with the x-axis.
A vertical asymptote is a line that is parallel with the y-axis
Examples
Historical Note
The terme “asymptote” comes from the Greek word “asumptotos” which means “not falling together”.