Asymptote of a curve y=f(x) with an infinite branch is a straight line the distance of which from the point (x, f(x)) on the curve tends to zero as the point moves along the branch of the curve to infinity. Decreasing function having for which an asymptote exists is called 'asymptotic decreasing'. use 'strictly decreasing' [http://identifiers.org/teddy/TEDDY_0000009] and 'asymptotic limit' [http://identifiers.org/teddy/TEDDY_0000026] terms instead.
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