Ratio tests for the convergence of integrals

Edinburgh Mathematical Notes Pub Date : 1900-01-01 DOI:10.1017/S0950184300002548

W. Ferrar

引用次数: 0

Abstract

1. Ratio tests for the convergence or divergence of infinite series of positive terms are well known; they are used in and out of season. On the other hand, ratio tests for infinite integrals are never used. What is the reason for this disparity between series and integrals?

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积分收敛的比率检验

1. 正项无穷级数收敛或发散的比值检验是众所周知的;它们在季节和非季节都可以使用。另一方面，无穷积分的比率检验从未使用过。级数和积分的区别是什么?

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Edinburgh Mathematical Notes

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