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.
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