Definition, Meaning & Synonyms
asymptotically
Adverb
/ˌasɪmˈtɒtɪkli/
Definition
In a manner that approaches a limit or value but never quite reaches it.
Examples
- The function f(x) asymptotically approaches the line y = 3 as x increases.
- As the algorithm runs longer, its performance improves asymptotically.
- Graphing the curve shows how the values get closer to zero asymptotically.
Meaning
Asymptotically refers to a behavior in mathematics or analysis where a function gets closer to a particular value as its input approaches a specified point, often infinity.
Synonyms
- Converging
- Approaching
- Limitlessly
