adjective Mathematics. 2.(of a function) approaching a given value as an
expression containing a variable tends to infinity.
3.(of two functions) so defined that their ratio approaches unity as the
independent variable approaches a limit or infinity.
4.(of a formula) becoming increasingly exact as a variable approaches a limit, usually infinity.
5.coming into consideration as a variable approaches a limit, usually infinity: asymptotic property; asymptotic behavior.
Also, asymptotical.
Related forms asymptotically, adverb