水平渐近线 如果limx→−∞=L或者limx→+∞=L成立,那么y=L称为f(x)的水平渐近线(Horizontal Asymptote)垂直渐近线 若limx→a+=±∞或者limx→a−=±∞,那么x=a称为f(x)的垂直渐近线(Vertical Asymptote) 3.斜渐近线 若∃m≠0,b使得 limx→±∞=[f(x)−(mx+b)]=0 ...
An asymptote is a line to which the graph of a curve is very close but never touches it. There are three types of asymptotes: horizontal, vertical, and slant (oblique) asymptotes. Learn about each of them with examples.
An Asymptote is a straight line that constantly approaches a given curve but does not meet at an infinite distance. Learn how to find the vertical and horizontal asymptotes with examples at BYJU'S.
asymptote for ( ) 1 - x 4 - 2x - 3x 2x 3 3 4 + = x f 。 解答: 3 2x y + = ( ) 1 - x 1 - 3 2x 1 - x 4 - 2x - 3x 2x 3 3 3 4 + = + = x f 因此( ) 0 1 - x 1 - lim 3) (2x - lim 3 = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = + →∞→∞ x x...
垂直渐近线VerticalAsymptotes.PDF,8-1 漸近線 已知一函數y f x ( ) ,其漸近線之求法如下: 1. 垂直漸近線:(Vertical Asymptotes) 若x a ,且滿足limf x ( )∞± ,則x a 為垂直漸近線。 x a→ 2. 水平漸近線:(Horizontal Asymptotes) ( ) y b (1) 滿足f xlim b 1 ,
Finding Horizontal Asymptotes Use the solution of the limit to write your asymptote equation. If the solution is a fixed value, there is a horizontal asymptote, but if the solution is infinity, there is no horizontal asymptote. If the solution is another function, there is an asymptote, but ...
have found a horizontal asymptote, I don't have to look for a slant asymptote. Then the full answer is: domain: all x vertical asymptotes: none horizontal asymptote: y = 0 (the x-axis) slant asymptote: none The Special Case with a "Hole" , Find the domain and all asymptotes of the...
Finding Horizontal Asymptotes Use the solution of the limit to write your asymptote equation. If the solution is a fixed value, there is a horizontal asymptote, but if the solution is infinity, there is no horizontal asymptote. If the solution is another function, there is an asymptote, but ...
解析 1.231232十vertical asymptotes xhorizontal asymptotey=^(1,x=0) 结果一 题目 【题目】analyze the function algebraically:list its vertical asymptotes, holes, and horizontalasymptote. Then sketch a complete graph of the func-tion.f(x)=1/(x(x+1)^2) 答案 【解析】1.-312344十+++vertical ...
Vertical Asymptotes Main Concept An asymptote is a line that the graph of a function approaches as either x or y approaches infinity. There are three types of asymptotes: vertical, horizontal and oblique. Vertical Asymptotes Vertical Asymptote A vertical