Integral Test
Let 
be a series with Positive terms and let 
be the function that results when 
is replaced by
in the Formula for 
. If 
is decreasing and continuous for 
and
then
and
both converge or diverge, where
. The test is also called the Cauchy Integral Testor Maclaurin Integral Test.See also Convergence Tests
References
Arfken, G. Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 283-284, 1985.
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