An indeterminate form is a form of a limit for which the limiting values of the individual parts of an expression do not determine the value
of the overall limit. For example, 
has the form 
when 
, but this information
alone does not determine the limit. In fact, 
, whereas 
.
The seven standard indeterminate forms involving 0, 1, and 
are
 |
(Gellert et al. 1989, p. 400; Thomas and Finney 1996, pp. 220 and 423). This enumeration is not algebraically unique, since, for example, a symbolic
expression of the form 
can also be written as 
.
Expressions involving complex infinity require additional conventions and are not part of this standard seven-form classification.
