A function is said to have a limit if, for all , there exists a such that whenever .
A Lower Limit
An Upper Limit
Indeterminate limit forms of types and can be computed with L'Hospital's Rule. Types
can be converted to the form by writing
See also Central Limit Theorem, Continuous, Discontinuity, L'Hospital's Rule, Lower Limit, Upper Limit
Courant, R. and Robbins, H. ``Limits. Infinite Geometrical Series.'' §2.2.3 in
What is Mathematics?: An Elementary Approach to Ideas and Methods, 2nd ed.
Oxford, England: Oxford University Press, pp. 63-66, 1996.