收敛数列 meaning in Chinese

convergent sequence of numbers
limit of a sequence

We shall study a very particular kind of sequences, called convergent sequences .
我们将研究称为收敛数列的很特别的一类数列。
Theorem 2 ( boundedness of a convergent sequence ) if the sequenceis convergent , thenis bounded
定理2 (收敛数列的有界性)如果数列收敛,那么数列必定有界。
Theorem 4 ( relation of a convergent sequence between its subsequence ) if the sequence converges to , then any of its subsequence is also convergent , and the limit is also
定理4 (收敛数列与其子数列间的关系)如果数列收敛于，那么它的任一子数列也收敛，且极限也是。
The paper does some discussions on the characteristic which the bounded variation sequence has . ft is found that the monotone sequence is colsely related to it , and very similar with the bounded variation functions , and reach the conclusion as follows : the class of bounded sequence ? the class of convergencal sequence ? the bounded variation sequence ? the hounded monotone sequence
本文主要对囿变数列的特征作一些探讨，我们发现；它与单调数列关系密切，而且与有界变差函数十分类似，并得出如下关系；有界数列类?收敛数列类?囿变数列?单调有界数列。