对于数列通项含有积分的极限问题，文章以定理形式总结概括出两类数列极限存在的充分条件，并附以实例。
As to the limit question of integral included in sequence terms, the paper summarizes two adequate conditions for integral limit from the theorem and provides some examples.
研究了函数序列关于弱收敛概率测度序列积分的极限定理，给出了概率测度弱收敛的若干新的等价条件，得到了期望泛函序列上图收敛的一个充分条件。
Some new equivalent conditions of weak convergence of probability measure are presented and a sufficient condition for the epi-convergence of expectant functional sequence is obtained.
用积分和的极限定义的黎曼积分对于初学者来说是一个很难理解的概念。
It is difficult for learner to understand the concept of Riemann integral which is defined by using the limit of Riemann sum.
并将其推广，从而证明了一类特殊的积分极限。
And such a proof is generalized to be a new method for proving a kind of special integral limits.
数学用语，已知函数乘以所谓核函数时所产生的函数，而这个产物在适当的极限之间积分化。
In mathematics, a function that results when a given function is multiplied by a so-called kernel function, and the product is integrated Between suitable limits.
分段函数是函数问题中难点，本文就分段函数在分界点的极限，导数、定积分的运算问题探讨一些新方法。
This text will talk about some new methods about the limit of disjunction function in the boundary and the operation of lead number and definite integral.
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.
讨论了解常微分方程的积分因子法在极限理论、微分学、积分学中的一些应用。
Some simple application of method of integrating factor that solve ordinary differential equation is discussed on the limit theory, differential and integral.
摘要：极限是微积分中至为重要的基础概念，也是建立及应用微积分学中各种计算方法、相关概念的基础之一。
Abstract: : the limit is Paramount basic concept in calculus, but also is one of the foundations to establish and apply all kinds of calculation methods and related concept in calculus.
在本文中，给出了方形积分区域上球面积的解析解，并在一极限条件下验证了该解析解的合理性。
In this paper, we give an analytical solution of the spherical area in the rectangular integral domain, and verify the validity of the solution under a limit condition.
开发了普遍极限平衡数值积分解的计算和图形处理程序。
The calculation and figure treatment are programmed according to the integral method of the general limit equilibrium.
极限是微积分中的一条基本线索。
极限——微积分的合理性。
利用极限理论，给出了复函数积分中值公式的“中值点”的渐近性的简洁证明。
By using the limit theory, we discuss and prove the asymptotic properties of mean point in integral mean value formula for a complex function.
本文在此意义下证明几个有关引理，并利用它证明微积分学中关于极限的乘法公式也同样成立。
Under meaning, this paper proves several relative lemmas and proves that the multiplication form about the limit in classical calculus is also valid for the grey limit with the help of th lemmas.
下面我们就针对高等数学中的某些级数、极限和积分的计算，通过找到它们之间的联系，运用概率思想进行解答。
This article aims to inductive probability knowledge in the series, limits and integral calculation principle and illustrate the application.
幂指函数求极限问题是微积分学中的一个常见问题，同时又是一个难点问题。
The limit problem of power exponent function is common but difficult in differential and integral calculus.
极限是微积分的重点和难点。本文简述了数学软件MAPLE在极限教学中的应用。
The limit was the key point and the difficulty of the teaching of fluxionary calculus , this article summarizes application mathematics software MAPLE in the limit teaching.
摘要无穷限反常积分收敛时，其被积函数在无穷远处的极限不一定为零。
The limit of the integrand f ( x ) of abnormal integral, which is convergent in the infinite range of integration, is not certainly equal zero at infinity.
极限提供了定义函数的导数和积分的方法。
Limits provide the means of defining the derivative and integral of a function.
对于极限状态的模糊性，基于概率积分法研究了模糊破坏概率及模糊随机可靠指标的求解方法。
For the consideration of the fuzziness of limit states, the method of probabilistic integral is used for the calculation of fuzzy failure probability and fuzzy random reliability index.
极限是微积分中的一条基本线索。本文主要列举五种常用的求极限方法：1、利用单调有界原理求极限；
The limits is a basic clues of the calculus. The main example of this paper gives five in common method: (1) bounded monotonic principle;
求极限问题是微积分学中的一个常见问题，同时又是一个难点问题。
The limit problem of power exponent function is common but difficult in differential and integral calculus.
求极限问题是微积分学中的一个常见问题，同时又是一个难点问题。
The limit problem of power exponent function is common but difficult in differential and integral calculus.
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