A PROOF OF THE DIVERGENCE CRITERION

Sunday Oluyemi

Former ARMTI Quarters, Off Basin Road, Ilorin, Kwara State.

Abstract

A statement of the Divergence Criterion (4.1.9(b) of [1]), so labeled by Bartle and

Sherbert, is difficult to locate in the literature, to talk less of locating a proof. This

short note furnishes a proof.

Keywords: Sequential convergence, point of accumulation, function limit.

2010 AMS Subject Classification 26 Real Functions