asymptotic

Adjective

asymptotic (not comparable)

1. Pertaining to values or properties approached at infinity.
   • F. Skof investigated an interesting asymptotic property of the additive functions (see Theorem 2.34). In fact, she proved that a function f : E₁ → E₂ is additive if and only if ‖f(x + y) − f(x) − f(y)‖ → 0 as ‖x‖ + ‖y‖ → ∞, where E₁ is a normed space and E₂ is a Banach space.2011, Soon-Mo Jung, Hyers–Ulam–Rassias Stability of Functional Equations in Nonlinear Analysis, Springer, →ISBN, page 130
   • More recently, a direction of research initiated by Macpherson and Steinhorn [28] and continued by Elwes [13, 14] and Ryten studies classes of finite structures in which definable sets have a uniform asymptotic behaviour, as the cardinalities of the universes increase.2011, Vera Koponen, "Some connections between finite; infinite model theory", Finite and Algorithmic Model Theory, Cambridge University Press, →ISBN, page 110
2. Coming into consideration as a variable tends to a limit, usually infinity.
   • Because for some transwomen, femininity can feel asymptotic — the closer you get, the more you feel you can never make it.2016 March 11, Jennifer Coates, “I Am A Transwoman. I Am In The Closet. I Am Not Coming Out.”, in Medium
   • The asymptotic behavior of a function