2) L Hospital Rule
洛必达法则
1.
A study is made on the failure of L Hospital rule in several cases.
分析了洛必达法则“失效”的4种情况,均为不满足洛必达法则的相关条件。
2.
First we weakly assumption condition of L Hospital rule, then give the theorems which resemble limit in sequence condition of number with style,style antl exmple to conceive the application of theerems.
首先将洛必达法则条件弱化,然后给出数列极限中0/0型、∞/∞型的类似形式的定理,并举例说明 定理的运用。
3.
This paper considers the fractional limitation lim satisfying the condition g(x)-and the same conclusion as L Hospital Rule is given.
在g(x)→∞(x→x_0或x→∞)的条件下,讨论分式极限lim f(x)/g(x)(或lim f(x)/g(x)),对此给出与洛必达法则完全相同的结论。
3) the L Hospital Theory
洛必达法则
1.
This article discusses some problems which should be paid attention to using equivalation infinite small and the L Hospital Theory.
本文对用等价无穷小代换与洛必达法则求函数的极限进行了探讨。
2.
This article discusses some problems which should be pay attention to in using the L Hospital Theory.
本文针对洛必达法则应用过程中应注意的几个问题进行了探讨 ,使学生对法则的条件有了更深入的理解 ,从而提高了学生应用法则解决问题的能力 。
4) rule of l'hospita
洛必达规则
6) L Hospital's theorem
洛毕达法则
补充资料:洛必达法则
洛必达法则(l'hospital)法则,是在一定条件下通过分子分母分别求导再求极限来确定未定式值得方法。
设
(1)当x→a时,函数f(x)及f(x)都趋于零;
(2)在点a的去心邻域内,f'(x)及f'(x)都存在且f'(x)≠0;
(3)当x→a时lim f'(x)/f'(x)存在(或为无穷大),那么
x→a时 lim f(x)/f(x)=lim f'(x)/f'(x)。
又设
(1)当x→∞时,函数f(x)及f(x)都趋于零;
(2)当|x|>n时f'(x)及f'(x)都存在,且f'(x)≠0;
(3)当x→∞时lim f'(x)/f'(x)存在(或为无穷大),那么
x→∞时 lim f(x)/f(x)=lim f'(x)/f'(x)。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
参考词条