asymptotic

UK: /ˌæsɪmˈtɒtɪk/ US: (as′im tot′ik)

WordReference Random House Unabridged Dictionary of American English © 2025

as•ymp•tot•ic  (as′im tot′ik), adj. [Math.]

1. Mathematics of or pertaining to an asymptote.
2. Mathematics (of a function) approaching a given value as an expression containing a variable tends to infinity.
3. Mathematics (of two functions) so defined that their ratio approaches unity as the independent variable approaches a limit or infinity.
4. Mathematics (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, as′ymp•tot′i•cal. 

• asymptote + -ic 1665–75

as′ymp•tot′i•cal•ly, adv. 

Collins Concise English Dictionary © HarperCollins Publishers::

asymptotic / ˌæsɪmˈtɒtɪk/, asymptotical adjective

1. of or referring to an asymptote
2. (of a function, series, formula, etc) approaching a given value or condition, as a variable or an expression containing a variable approaches a limit, usually infinity

ˌasympˈtotically adverb