asymptotic

asymptotic or as·ymp·tot·i·cal [as-im-tot-ik or as-im-tot-i-kuh l] Word Origin adjective Mathematics.

1. of or relating to an asymptote.
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.

Origin of asymptotic First recorded in 1665–75; asymptote + -ic Related formsas·ymp·tot·i·cal·ly, adverb British Dictionary definitions for asymptotic asymptotic 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

Derived Formsasymptotically, adverb Word Origin and History for asymptotic adj.

1670s, see asymptote + -ic. Related: Asymptotical; asymptotically.