Lower Limit
Let the least term 
of a Sequence be a term which is smaller than all but a finite number of the termswhich 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 numberless than has this property. See also Limit, Upper Limit
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.
- Ellipse Envelope
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