Upper Limit
Let the greatest term 
of a Sequence be a term which is greater than all but a finite number of the termswhich are equal to . Then is called the upper limit of the Sequence.
An upper limit of a Series
is said to exist if, for every
, 
for infinitely many values of 
and if no numberlarger than 
has this property.See also Limit, Lower 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.
- Finite Simple Group Classification Theorem
- Finite-to-One Factor
- Finsler Geometry
- Finsler-Hadwiger Theorem
- Finsler Manifold
- Finsler Metric
- Finsler Space
- First-Countable Space
- First Curvature
- First Derivative Test
- First Digit Law
- First Digit Phenomenon
- First Multiplier Theorem
- Fischer Groups
- Fischer's Baby Monster Group
- Fish Bladder
- Fisher-Behrens Problem
- Fisher Index
- Fisher Kurtosis
- Fisher's Block Design Inequality
- Fisher's Estimator Inequality
- Fisher's Exact Test
- Fisher Sign Test
- Fisher Skewness
- Fisher's Theorem