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Published online by Cambridge University Press: 03 November 2016
The followitlg is a useful introduction to the proof of the theorem about the product of two series.
(1) Let Ur =u 1 + u 2 + .. +ur
and Vr = v 1 + v 2 + ... + vr
be two convergent series of real positive terms, and let Ur → U, V r →V as r→∞.