A convergence theorem for continued fractions of the form Kn=1∞an/1

摘要

In this paper we present a convergence theorem for continued fractions of the form Kn=1∞an/1. By deriving conditions on the an which ensure that the odd and even parts of Kn=1∞an/1 converge, these same conditions also ensure that they converge to the same limit. Examples will be given.