二、水平渐近线的定义 若函数f满足\lim_{x \rightarrow +\infty}{f\left( x \right)}=L或\lim_{x \rightarrow -\infty}{f\left( x \right)}=L,则称y=L为其曲线的水平渐近线. 图记2.6-6 反正切函数的两条水平渐近线 三、无穷远处极限定理 若正数r为有理数,则\lim_{x \rightarrow +\infty}{...
Limits at Infinity:Horizontal Asymptotes水平渐近线 通过下面的例子,来探究 有对应的表格: 对应的图像 得出结论: 定理: 当x越来越大的时候, 对应的 f(x) 越接近 L 读法: 对应的例子: 定理2 也就是到 负无穷大 定理3 (horizontal asymptote 水平渐近线) 只要满足一个, 就可以 y = L, 就是 水平渐近线 定...
Limits at Infinity:Horizontal Asymptotes水平渐近线 通过下面的例子,来探究 有对应的表格: 对应的图像 得出结论: 定理: 当x越来越大的时候, 对应的 f(x) 越接近 L 读法: 对应的例子: 定理2 也就是到 负无穷大 定理3 (horizontal asymptote 水平渐近线) 只要满足一个, 就可以 y = L, 就是 水平渐近线 定...
2.6LimitsatInfinity;HorizontalAsymptotes LimitsatInfinity;HorizontalAsymptotes Inthissectionweletxbecomearbitrarilylarge(positiveornegative)andseewhathappenstoy.Let’sbeginbyinvestigatingthebehaviorofthefunctionfdefinedby asxbecomeslarge.3 LimitsatInfinity;HorizontalAsymptotes Thetablegivesvaluesofthisfunctioncorrectto...
Horizontal Asymptotes Recall that an asymptote is a value that the function becomes really, really close to asxxbecomes larger and larger, like in the graph below. This is exactly the idea of alimitat infinity! Definition Supposef(x)f(x)becomes arbitrarily close to a particular finite valueLL...
In mathematical shorthand, we write this as lim f (x ) =–¥ This covers all possibilities. xfi–¥ Ba t/Ziegler/Byleen Business Calculus 11e 15 Limits at Infinity and Horizontal Asymptotes A line y = b is a horizontal asymptote 下载文档 收藏 分享 赏 0您可能关注的文档...
Horizontal asymptotes occur when a function approaches a horizontal line as x approaches positive or negative infinity. Both types of asymptotes are discussed in this lesson and their formal definitions are given below. Vertical Asymptote Definition A function has a vertical asymptote at x = a ...
Limits and Continuity
I can research almost any subject, delve into it more deeply if I wish, and begin studying at a deeper level right away. Recommended Lessons and Courses for You Related Lessons Related Courses Horizontal Asymptote | Overview, Rules & Examples Horizontal and Vertical Asymptotes Horizontal vs...
1、Do Now:,Aim: Do Limits at Infinity make sense?,List the characteristics of the following function,Do Now,f(x) 3 as x ,f(x) 3 as x -,f(x) approaches 3,f(x) approaches 3,Horizontal Asymptote,f(x) 3 as x ,f(x) 3 as x -,Limits at Infinity for Rational Functions,For the...