# asymptotic

### or as·ymp·tot·i·cal

[as-im-tot-ik or as-im-tot-i-kuh l]

- 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

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

## Examples from the Web for asymptotically

### Historical Examples of asymptotically

The theory is not a thing complete from the first, but a thing which grows, as it were asymptotically, towards certainty.

Fragments of science, V. 1-2John Tyndall

## asymptotic

### asymptotical

- 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

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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

## Word Origin and History for asymptotically

## asymptotic

Online Etymology Dictionary, © 2010 Douglas Harper