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单词 Integral Test
释义

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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