Is there any other condition apart from the fact that limit should be of the formso that L'Hopital Rule can be applied.
e.g.
Does not exist but when L'Hopital Rule is applied the answer comes out to be one though limit is of the type.
Alsobut when L'Hopital Rule is applied we do not get any answer.
Can some body provide the exact condition required.Some more examples in contradiction to direct application of L'Hopital Rule will be appreciated.
Assume f(x) / g(x) is an indeterminate form.
It is not often spoken of, but it is also required thatand
change sign only finitely many times in the neighborhood of the limit.
In your example, neither 1 - cos(x) nor 1 + cos(x) has this problem, but the next derivative certainly does.
It's also important to note that the repeated application of the rule must converge.
Most indeterminate forms can use L'Hospital's Rule, but it requires a transformation to make it of the formOriginally Posted by pankaj
Is there any other condition apart from the fact that limit should be of the form
e.g.
Does not exist but when L'Hopital Rule is applied the answer comes out to be one though limit is of the type
Also
Can some body provide the exact condition required.Some more examples in contradiction to direct application of L'Hopital Rule will be appreciated.or
.
Indeterminate form - Wikipedia, the free encyclopedia
  |
LinkBack URL
About LinkBacks