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A note on Cauchy's root test

Published online by Cambridge University Press:  18 May 2009

I. S. Murphy
I. S. Murphy
Affiliation:
University of Glasgow, Scotland
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Throughout this note we deal with a series Σan of positive terms. The following tests for the convergence of this series are well-known.

Test 1. (Ratio test). LetThen, if K < 1, Σanconverges, while if K > 1, Σandiverges.

Test 2. (Root test). LetThen, if K < 1, Σanconverges, while if K > 1, Σandiverges.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 17 , Issue 2 , July 1976 , pp. 151 - 154
Copyright
Copyright © Glasgow Mathematical Journal Trust 1976

References

REFERENCES

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