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L'Hospital's rule as stated applies when f(a) = 0 and g(a) = 0 so that
.
Other indetermined forms include 
.
There is a version of L'Hospital's rule that applies to 
; it is the same as the original rule with 
replaced
by 
.
The same approach can be applied to the limit f(x) - g(x) as both f and g approach
infinity, by treating 
by
L'Hospital's rule.