Discussion on Asymptote Concepts of Curvilinear Functions

Two critical flaws concerning ambiguities for asymptotes are existed in advanced mathematics textbook today:(1)if the discussion is determined by the asymptote concepts,a few particular asymptotes can be lost;(2) since the discussion on asymptotes is used to analyze the trend of the function curve,the asymptote concept gives little support to the discussion.This paper gives a new concept about asymptote-perfecting.The geometrical relation with the asymptote are discussed,thus solving those two problems.