级数判敛法在应用中应注意的问题

Some problems concerned about series mathematics

级数理论是数学分析的重要组成部分,它是研究函数的一个重要工具.指出证明∑∞n=1an(an 0)收敛和∑∞n=1un(x)一致收敛时应注意的几个问题.

Series theory is an important constituent of mathematical analysis and a significant tool in function research. This artide point out some problems which should be paid attention to in ∑ ∞ n=1 an（an≥0） convergence and ∑ ∞ n=1 un（x） agreement convergence proving.