Thread: l'hopital rule

hi... first thread here...

my question is regarding l'hopital rule.

i understand the rule is applicable only if both limits -
of f(x) and g(x) when were looking for lim of f(x)/g(x)
are identical and go to infinity, -infinity or 0.

my question is what if one limit is infinity, and the other -inifinty...
is there any way to go around that, or that means the limit does not exist?

thanks in advance.

Originally Posted by vonflex1

hi... first thread here...

my question is regarding l'hopital rule.

i understand the rule is applicable only if both limits -
of f(x) and g(x) when were looking for lim of f(x)/g(x)
are identical and go to infinity, -infinity or 0.

my question is what if one limit is infinity, and the other -inifinty...
is there any way to go around that, or that means the limit does not exist?

thanks in advance.

-1 is a constant that can be factored out of the limit

The rule actually says that

So no, it's not a problem.

thanks!