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中文摘要：
比较原则是广义积分（无穷级数）收敛性的最基本的判别法则,不光自身简单实用,而且由此导出了许多重要的判定方法.本文将比较原则中的条件放宽为上、下极限,从而在一定程度上推广了比较原则,扩大了它的应用范围.为了说明推广的比较审敛法则的有效性,本文最后给出了几个例子.
英文摘要：
Compare principle is the basic method for improper integration（infinite series）,not only because it is convenient to use but also because it is the base for proof of other methods.By relaxing limits with up-lower limits in assumption condition,Compare principle is generalized.We give some examples in the last section from which the advantage of the generalized compare principle is shown.
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