The limit laws give the limit of an algebraic combination of functions in terms of their individual limits.
Let 
and 
as 
on a common domain, where
is an accumulation
point of that domain and 
and 
are finite. Then the sum, difference,
product, and constant multiple satisfy
 |  |  |
(1)
|
 |  |  |
(2)
|
 |  |  |
(3)
|
 |  |  |
(4)
|
where 
is a constant.
If 
, then 
for 
sufficiently close to 
on the punctured domain, and
 |
(5)
|
The quotient rule with a finite nonzero denominator limit does not cover an indeterminate form
such as 
(Hunter 2014, p. 120).
