一个极限公式在判别级数敛散性中的应用

The application of a limit formula in deciding the convergence and divergence of series

利用积分法求数列极限在瑕积分中的推广,得到一个常用的极限公式,可以在数项级数敛散性判别中有广泛的应用利用这种方法可以极大地提高学生的解题能力.

By using the extension of solving the limit of sequence by integral method in defective integral,a common limit formula was obtained.This formula can be widely used to decide the convergence and divergence of several series.This method can greatly improve students'ability to solve problems.