or as·ymp·tot·i·cal

[ as-im-tot-ik or as-im-tot-i-kuh l ]
/ ˌæs ɪmˈtɒt ɪk or ˌæs ɪmˈtɒt ɪ kəl /

adjective Mathematics.

of or relating to an asymptote.
(of a function) approaching a given value as an expression containing a variable tends to infinity.
(of two functions) so defined that their ratio approaches unity as the independent variable approaches a limit or 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.


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Origin of asymptotic

First recorded in 1665–75; asymptote + -ic


as·ymp·tot·i·cal·ly, adverb Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2020

British Dictionary definitions for asymptotic



/ (ˌæsɪmˈtɒtɪk) /


of or referring to an asymptote
(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 forms of asymptotic

asymptotically, adverb
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012