In mathematical analysis, asymptotic analysis, also known as asymptotics, is a method of describing limiting behavior. As an illustration, suppose that we are interested in the properties of a function f(n) as n becomes very large.

What is the meaning of the word asymptotic?

(of a function) approaching a given value as an expression containing a variable tends to infinity. ... (of a formula) becoming increasingly exact as a variable approaches a limit, usually infinity. coming into consideration as a variable approaches a limit, usually infinity: asymptotic property; asymptotic behavior.

What is asymptotic limit?

A line whose distance to a given curve tends to zero. An asymptote may or may not intersect its associated curve.