反常积分号下取极限的两个定理及应用

摘要

针对n→∞时相应反常积分的极限介绍两个有用的定理,特别是积分形式的Tannery定理,这在现有的文献中很少见到.这些结果有助于完善教材相关内容.最后给出了几个应用例子.%For the limitations of two improper integrals as n→∞, two theorems are introduced, of which Tannery theorem with the integral form is rare.These results help to improve the teaching materials.Some examples are given as an application.