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arXiv · 0805.2224

A New Differential Test for Series of Positive Terms

Yi-Fang Chang
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Abstract

A new differential test for series of positive terms is proved. Let f(x) be a positive continuous function corresponded to a series of positive terms f(k), and g(x) is a derivative of reciprocal of f(x). Then, the convergence and divergence of the series may be determined from a value of fgx for enough large x. The rest may make the limit form, and is universal and complete.

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Yi-Fang Chang. 2008-05-15. A New Differential Test for Series of Positive Terms. https://arxiv.org/abs/0805.2224

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