阶的估计法在判定无穷积分敛散性问题中的应用

The Application of Order-estimate Method in Determining Convergence and Divergence of Infinite Integration

证明了二个运用阶的估计法判定无穷积分敛散性的判定定理,并据此去解决一些由比较判别法不易判定的无穷积分敛散性问题,显示了阶的估计法在这方面的优越性。

This article mainly verifies two determine-theorems in the order-estimate method used for determining convergence and divergence of infinite integration and employs the order-estimate method to determine convergence and divergence of infinite integration which is not easy to be determined by comparison tests to show the merits of order-estimate method.