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On the sufficiency of the condition for a limit

Published online by Cambridge University Press:  31 October 2008

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Let z1, z2, z3, … be a, sequence of quantities, real or complex, such that, corresponding to any arbitrary small positive quantity ∈, we can find a positive integer n such that | zn+p – zn | < ∈ for all positive integral values of p.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1913