Question 1: How to find the asymptote solution of a function: There are two kinds of asymptotes of a function: (1) vertical asymptote, that is, straight line x=x0. Judgment method: lim(x→x0)f(x)=+∞ (or -∞), that is, the straight line x=x0 is a vertical asymptote (2) and an oblique asymptote: (possibly set to y=ax+b) Judgment method: lim (x→∞) [f (x)-(ax+b). lim (x→∞) [f (x)

Question 2: How to find three asymptotes of a curve? Please talk about the method.

Question 3: How to find the asymptote of a function? In advanced mathematics lim(x→∞)y = a(a≦∞), then y = a is the horizontal asymptote.

Lim(x→b)y =∞(b≦∞), then x = b is a vertical asymptote.

Lim (x →∞) y/x = c (c ≠ 0 and c≠∞) has an oblique asymptote, and lim (x →∞) y-CX = d, then y = CX+d is an oblique asymptote.

Question 4: How to find the horizontal asymptote and the vertical asymptote X->; +infinity or-∞, y-> C, y=c is the horizontal asymptote of f(x); For example, y=0 is the horizontal asymptote of y = e x;

x-& gt； A, y->+ infinity or-∞, x=a is the vertical asymptote of f(x); For example, x=0 is the vertical asymptote of y =1/x.

Question 5: Given a function, how can we find out whether it has an asymptote? Lang Jun hunting English team to answer your questions ~

There are three kinds of asymptotes

Horizontal: When X tends to positive infinity or negative infinity and Y tends to constant A, then y=a is the horizontal asymptote.

Vertical: when x tends to b and y tends to infinity, then x=b is a vertical asymptote.

Oblique: When x approaches infinity, the function y=f(x) infinitely approaches a fixed straight line y=Ax+B, that is, an oblique asymptote.

Specific solution: When X tends to infinity, limy/x=A and lim[y-Ax]=B, then y=Ax+B is an oblique asymptote.