A New Differential Test for Series of Positive Terms

Details A New Differential Test for Series of Positive Terms A New Differential Test for Series of Positive Terms

2008-05-15

arxiv.org/abs/0805.2224v1

Mathematics

General Mathematics

3 pages

Scientific paper

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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