asymptotic

[as-im-tot-ik]
adjective Mathematics.
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.
Also, asymptotical.


Origin:
1665–75; asymptote + -ic

asymptotically, adverb
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World English Dictionary
asymptotic or asymptotical (ˌæsɪmˈtɒtɪk)
 
adj
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
 
asymptotical or asymptotical
 
adj
 
asymptotically or asymptotical
 
adv

Collins English Dictionary - Complete & Unabridged 10th Edition
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Example sentences
While the curve may be asymptotic, you would always get a little closer to your
  limit.
Improvement will happen but it will approach an asymptotic limit.
Of course, this is an asymptotic result, since no stationary observer can be
  located at the horizon.
Over longer ranges, asymptotic limits and dimensionality become important.
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