1, horizontal asymptote: when X→ +∞ or -∞, y→c, y=c is the horizontal asymptote of f(x).

2. Vertical asymptote: the vertical asymptote of f(x) when x→a, y → +∞ or -∞, and x = a..

3. Oblique asymptote: When x→∞ and the limit of y/x is constant k, then y=kx+b is an oblique asymptote.

Characteristics of asymptote:

Asymptotes are divided into vertical asymptotes, horizontal asymptotes and inclined asymptotes.

It should be noted that not all curves have asymptotes, and asymptotes reflect the changes of some curves when they are infinitely extended.

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