) 当序列之部份和收敛到一定值如下式所示 而 称为收敛级数(convergent series)，否则称为发散级数(divergent series) 在无穷级数之s n 不计，则其馀部份为 称为无穷级数在之z n 项之后之馀数(remainder)，即 ...
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正则收敛级数 [数] regularly convergent series
无条件收敛级数 [数] unconditionally convergent series
绝对收敛级数 absolutely convergent series
有界收敛级数 boundedly convergent series
条件收敛级数 [数] conditionally convergent series
非绝对收敛级数 nonabsolutely convergent series
永久收敛级数 permanently convergent series
非收敛级数 [数] non-convergent series
适当选取参数，得出了几个新的收敛级数。
By choosing suitable parameters, several new and convergent series are obtained.
该级数一致收敛于收敛环内的紧子集上。
The series converges uniformly on compact subsets of the interior of the annulus of convergence.
无穷级数的收敛性与发散性与此概念有关。
Convergence and divergence of infinite series depend upon this concept.
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