No CrossRef data available.
Article contents
Beyond the ratio test
Published online by Cambridge University Press: 17 October 2018
Extract
D'Alembert's ratio test, a very basic plank in the theory of infinite series, can be stated as follows:
Suppose that an > 0 for all n ≥ 1. Then:
(i) if for some n0 and some ρ < 1, we have for all n ≥ n0, then is convergent;
(ii) if for some n0, we have for all n ≥ n0, then is divergent.
- Type
- Articles
- Information
- Copyright
- Copyright © Mathematical Association 2018