A New Differential Test for Series of Positive Terms
General Mathematics
2008-05-16 v1 Classical Analysis and ODEs
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.
Keywords
Cite
@article{arxiv.0805.2224,
title = {A New Differential Test for Series of Positive Terms},
author = {Yi-Fang Chang},
journal= {arXiv preprint arXiv:0805.2224},
year = {2008}
}
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3 pages