中文摘要：

无穷限积分和瑕积分的对数判别法是一种新的敛散性判别法,但在理论上还不完整.本文给出几个有意义的实例,对于退化情况进行补充说明.

英文摘要：

Logarithmic criterion for infinite integrals and stained integrals is a new one. But there is a theoretical flaw in the known results for this criterion. Based on some meaningful concrete examples given in this paper, two notes for a degenerate case are provided.