Asymptote

ENZH

What Does Asymptote Mean?

  • 渐近线
  • 渐近曲线

Asymptote Pronunciation

/ˈæsɪmptoʊt/

Asymptote Definition

noun

Definition

A line that continually approaches a given curve but does not meet it at any finite distance.

In ZH

一条线不断接近给定的曲线,但在任何有限距离内都不相遇。

How to Use Asymptote in a Sentence

  • In calculus, an asymptote is a line that a curve approaches as it heads towards infinity.
  • The graph of the function has a vertical asymptote at x=0.
  • As the value of x increases, the curve approaches the asymptote but never touches it.
  • Analyzing asymptotes helps in understanding the behavior of functions at extreme values.
  • The concept of asymptotes is fundamental in algebra and calculus.