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Meaning of asymptotic

as•ymp•tot•ic

Pronunciation: (as"im-tot'ik), [key]
— adj. Math.
  1. of or pertaining 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.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.
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