asymptotically

American  

[as-im-tot-ik-lee] / ˌæs ɪmˈtɒt ɪk li /

adverb

1. Mathematics. in the way that the graph of a function approaches an asymptote, a straight line representing the limit of the function as one of its variables grows to infinity.

   This curve has a characteristic bell shape, high in the center but asymptotically approaching zero to form a tail on either side.

2. in an asymptotic way; in such a way as to approach a given value, point, level, etc., continuously without ever reaching it.

   He applies similar reasoning to the problem of the moral perfectibility of humankind, which he believes can only happen asymptotically over time.

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Etymology

Origin of asymptotically

First recorded in 1670–80; asymptotic ( def. ) + -ally ( def. )