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Mironenko’s limit test for numerical and power series
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UDC: 514.116
Publication Language: English
Stuc. intelekt. 2014; 19(2):96–99
Abstract: The report describes the derivation and application of Mironenko’s test for series with positive terms. Mironenko’s test has the same limitations that have d'Alembert's ratio test and Cauchy's radical test. But in practical sense Mironenko’s test has some advantages, moreover, it can be used for power series research.
Keywords: series, limit test, d'Alembert's ratio test, Cauchy's radical test, limit
References:
- Mironenko L.P. The proof of an equivalence of D’alembert’s and Cauchy’s tests in the theory ofnumerical series / L.P. Mironenko // Artificial intelligence. – 2013. – № 3. P. 507-511.
- Fikhtengolts G.M. Differential and integral calculus / Fikhtengolts G.M. - Moscow: Nauka PublishingHouse of the FML, 1972. – Vol. 1. – 795 p.