主要探讨了从函数自身的性质判定无穷积分敛散性的方法，并将其推广到瑕积分。
In this paper, it gives a criteria of convergence of infinite integral about the positive function and expands it on the defect integral.
借鉴数论方法中的密率论，给出判别正项级数敛散性的密率判别法，此方法特别适用于判定一些较难或不能给出通项表达式的级数的敛散性。
By using the density theory of theories of Numbers, the article gives the density discrimination method determining the convergence and divergence characteristic of the positive term series.
借鉴数论方法中的密率论，给出判别正项级数敛散性的密率判别法，此方法特别适用于判定一些较难或不能给出通项表达式的级数的敛散性。
By using the density theory of theories of Numbers, the article gives the density discrimination method determining the convergence and divergence characteristic of the positive term series.
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