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Date: 9-9-2019
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Date: 13-10-2019
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Date: 21-8-2018
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Let the greatest term of a sequence be a term which is greater than all but a finite number of the terms which are equal to
. Then
is called the upper limit of the sequence.
An upper limit of a series
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is said to exist if, for every ,
for infinitely many values of
and if no number larger than
has this property.
REFERENCES:
Bromwich, T. J. I'A. and MacRobert, T. M. "Upper and Lower Limits of a Sequence." §5.1 in An Introduction to the Theory of Infinite Series, 3rd ed. New York: Chelsea, p. 40, 1991.
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