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Lower Limit

المؤلف:  romwich, T. J

المصدر:  "Upper and Lower Limits of a Sequence." §5.1 in An Introduction to the Theory of Infinite Series, 3rd ed. New York: Chelsea

الجزء والصفحة:  ...

19-9-2018

2337

Lower Limit

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.

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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.