| 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. |