On a generalisation of monotonic sequences

Author:

Copson E. T.

Abstract

A bounded monotonic sequence is convergent. Dr J. M. Whittaker recently suggested to me a generalisation of this result, that, if a bounded sequence {an} of real numbers satisfies the inequalitythen it is convergent. This I was able to prove by considering the corresponding difference equation

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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