Definitions

1. adjective

approaching or representing a limit, especially in mathematics or physics; asymptotic to something means that the ratio of two quantities approaches a constant as a variable approaches a certain value.

“The asymptotic behavior of the function was studied by the mathematician.”

2. noun

a point at which a curve or a function approaches, but does not reach, a particular value; an asymptote.

“The graph of the function has an asymptote at x=2.”