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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.


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

"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

Other Word Forms

Etymology

Origin of asymptotic

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

Vocabulary lists containing asymptotic

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

See Examples For:

DeepSeek R1’s success challenged the idea that AI development would require asymptotic demand for hardware and outsize profits for Nvidia — shaking the very foundation that the U.S. bull market had been built upon.

From MarketWatch Jan. 24, 2026

The study, "An empirical view of the extended atmosphere and inner envelope of the asymptotic giant branch star R Doradus II. Constraining the dust properties with radiative transfer modelling," is published in Astronomy & Astrophysics.

From Science Daily Jan. 12, 2026

Shares grow like asymptotic curves—going up and up, seemingly toward infinity!

From The Wall Street Journal Dec. 28, 2025

The scientific method is an asymptotic process aimed at determining natural truths.

From Los Angeles Times Feb. 13, 2025

However, there is another property of the strong nuclear force, called asymptotic freedom, that makes the concept of quarks and gluons well defined.

From "A Brief History of Time: And Other Essays" by Stephen Hawking

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