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了它們強(qiáng)弱性關(guān)系,給出了典型例題驗(yàn)證上述判別法的有效性. 關(guān)鍵詞正項(xiàng)級數(shù);判別法;斂散性The Convergence Tests and Application for Series of Positive TermsAbstractHigher Mathematics series is an important part of teaching, The series of positive terms is an important series Part, Positive identification of Convergence and Divergence of many paper has summarized a variety of convergence judge methods for positive terms series, including parison principle and its extension, integrated judge method and its extension, derivate judge method and judge methods of general series, some famous tests such as Cauchy Test, D’Alembert Test, Kummer Test and Gauss Test e from Comparison principle。 judge methods。天下篇》中提到“一尺之捶,日取半截,萬世不竭”,把每天截下的那一部分的長度加起來:,從直觀上看,它的和是1,但是下面“無限個實(shí)數(shù)相加”的和是多少?如果寫成其結(jié)果是0.如果寫成其結(jié)果是1.:“無限個數(shù)相加”是否存在“和”?如果存在,“和”是多少?十七八世紀(jì)的一些著名的數(shù)學(xué)