级数证明问题的几种处理方法

通过有关级数证明的几个例题，提出了思考和分析问题几种常用的方法。特别是对一般项为抽象形式的级数证明，更要思路开阔，根据所给的条件确定解决问题的不同方法。在级数的一般项中含有参数时，要对参数取值的不同情况进行讨论，才能得到完整的结果。最后介绍了一致收敛性质在证明问题中的应用，尤其当级数的一般项由定积分表示时，一致收敛级数的逐项微分、逐项积分的性质经常会用到。

Several methods of the series certification in series

Through some examples concerning the series certification,this thesis brings about several common ways of dealing and analyzing the problems.Clue should be broaden especially for the series certification,with the abstract form as the common term,different solutions can be worked out acoording to different condition when the common term contains parameter ,only by discussing different condition on the value of the parameter,we can get the completely result.Finally,the thesis introduced the application of the uniform convergerce propery in the certification, which is frequently used in successive derivative and successive terms integration when the common term is expressed by definite integral.