asymptotic

American  

[as-im-tot-ik] / ˌæs ɪmˈtɒt ɪk /

Also asymptotical

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.

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asymptotic British  

/ ˌæsɪmˈtɒtɪk /

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

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Other Word Forms

• asymptotically
  adverb

Etymology

Origin of asymptotic

First recorded in 1665–75; asymptot(e) + -ic