二、收敛级数的性质( Properties of Convergent Series) 柯西审敛原理 ( Cauchy Convergence Criteria ) 常数项级数的审敛法(Test for Convergence of the Constant Series) ..
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第二部分是在一致收敛条件下函数列、函数项级数以及含参量反常积分的性质。
The second part is in uniform convergence conditions function series, function and parameter improper integral. We properties.
对于函数级数，研究其和函数的解析性质很重要，但函数级数必须具有一致收敛性，而判断函数级数的一致收敛性往往是比较困难的。
However, this study should be based on the fact that the series must have consistent convergence, the judgment of which is rather difficult.
性质3在级数中去掉、加上或改变有限项，不会改变级数的收敛性。
Property 3 Deleting, adding and altering the finite terms of the infinite series keep the convergence of the series.
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