使用函数极限的定义；
众所周知，极限论包括数列极限、函数极限两类。
It is well known, the limit discusses including the sequence limit, the limit of function two kinds.
在高等数学的教学中发现很多学生在函数极限运算方面面临不少问题。
Found many students facing many troubles in higher math's study in the limit of function operation aspect.
经过归纳，总结，找到一些规律：即选择适当路径以确定二元函数极限不存在。
After summing up, summarizing, find some laws: Choosing proper route to confirm the function limit of two variables' doesn't exist.
但对于求幂指函数极限，可重使用等价代换定理，微积分学教程中却没有论及。
In calculus, it has not been proved whether or not the equivalent substitution theorem can be applied to the limit calculation of power-exp ential factions.
求函数极限的方法很多，而且非常灵活，因此研究与总结求函数极限的方法尤为重要。
Many ways to limit demand function, and very flexible, so the research and summarized the methods limit demand function is particularly important.
给出了幂指函数极限定理，对求幂指函数极限的方法进行了讨论，并给出一些应用实例。
The paper provides the theorem of the limit of combination of power and exponent function, which gives us a new method to work out the limit of this kind of function.
给出了幂指函数极限定理，对求幂指函数极限的方法进行了讨论，并给出一些应用实例。
This paper mainly introduces the method of power exponential function to find out the result of limit in the form of theorem.
函数极限的计算是高等数学教学的基本要求，本文归纳了函数极限计算的一些常见方法与技巧。
The computation of function limit is essentially required in higher mathematics education. This paper sums up a lot of common skills and methods of computing function limit.
揭示了海涅定理的内涵，分别给出了不同函数极限的海涅定理，归纳总结了它的应用并举出实例。
This paper is intended to give a definition of Heine theorem in different functions limits and summarize its application through illustrating examples.
提出用一种新方法——构造法证明多元函数极限不存在，并得到了证明多元函数极限不存在的新条件。
A new method is provided to prove the non-existence of multivariable function limit by virtue of construction method.
它既不是数列极限，也不是函数极限，而是一段特殊的极限。变量的描述比较模糊，没有清晰的变化过程。
It is neither the limit of sequence nor the limit of function, but it is a special limit in which it seems the description of variable and the change process of variable are not clear.
由于幂指函数形式的独特性，使得幂指函数的极限显得复杂。文中给出了求几种类型幂指函数极限的简捷方法。
Due to its unique characteristics, the calculation of the exponential function limit seems complicated. This paper discussed several simple ways to calculate the exponential function limit.
本文在泛灰函数的极限概念基础上，进一步讨论了泛灰函数极限的运算及运算性质，为讨论泛灰函数的连续性以及泛灰函数的导数奠定了基础。
Some definitions of four fundamental operations of grey number and grey function are given in this paper, also we have given the whiting method of grey function.
在高温极限下，不同自由度的配分函数会有不同，这依赖于他们具体能级结构。
What'll happen in the high temperature limit might vary, depending on the structure of the energy levels.
本文讨论了在幂指函数求极限的过程中利用等价无穷小量代换，提出了四条定理，并给出了证明。
This article mainly discusses about how to take advantage of infinitesimal quantity to get the limit of power-exponential function.
大多数函数的极限运算问题可用常规的算法及运算法则解决。
Most of the problems on functional limit operation can be solved through regular algorithms.
并讨论说明了导函数的右(左)极限与右(左)导数之间的关系。
And demonstrates the relations between the right (left) limit of function and right (left) derivative.
第一个是关于如何通过极限环分析建立描述函数法与相平面法之间联系；
The first one is about how to build the connection between describing function method and phase plane method through limit cycle analysis.
微积分研究的对象是函数，研究工具是极限，微积分概念的定义方式与以往学习的初等数学概念有本质的区别。
Functions are research objects of the calculus and limit is its research tool. The way to define the calculus concept differs distinctly from that of elementary mathematics.
给出了在无穷远处具有有穷极限的函数的有关导数的几个定理及其严格证明。
The paper gives several theorems for derivate of the function with finite limit at the infinite point and its strict proof.
基于极限状态函数矩估计的失效概率计算，提出一种新的可靠性灵敏度分析方法。
Based on the moment estimation of limit state function for calculation of failure probability, a new reliability sensitivity analysis method is presented.
给出了指数迭代序列的极限函数的一些性质。
Some properties of the limit function of the iterated exponentials sequence are presented.
针对结构隐式极限状态函数的可靠性分析，提出了一种支持向量机分类迭代算法。
For reliability analysis of structure with implicit limit state function, an iterative algorithm was presented on the basis of support vector classification machine.
高等均值法是在隐式极限状态函数下计算结构可靠性的有效方法。
Advanced mean value method is an efficient method in reliability analysis under the condition of implicit limited state functions.
为了得到关于弱集值渐近鞅的收敛性质，首先证明了支撑函数列的极限亦为一支撑函数。
In order to get the convergence properties of the weak set-valued Amart, we firstly proved the theorem that the limit of support functions is a support function.
为了得到关于弱集值渐近鞅的收敛性质，首先证明了支撑函数列的极限亦为一支撑函数。
In order to get the convergence properties of the weak set-valued Amart, we firstly proved the theorem that the limit of support functions is a support function.
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