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Date: 25-3-2019
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Date: 2-5-2019
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Date: 5-9-2019
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Let the least term of a sequence be a term which is smaller than all but a finite number of the terms which are equal to . Then is called the lower limit of the sequence.
A lower limit of a series
is said to exist if, for every , for infinitely many values of and if no number less 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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