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Some Theorems Connected with Maclaurin’s Integral Test

Published online by Cambridge University Press:  03 November 2016

C. T Rajagopal
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Extract

The theorem of J E. Littlewood stated below includes Maclaurin’s integral test and furnishes the basis for a unified theory of convergence criteria for series of positive terms.

Theorem A. If F(x) is positive monotone decreasing and (Dn) is such that

then converges or diverges with .

Information

Type
Research Article
Information
The Mathematical Gazette , Volume 23 , Issue 257 , December 1939, pp. 456 - 461
Copyright
Copyright © Mathematical Association 1939

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