Hi,
The problem in question is as follows:
Limit as u tends to 0 of:
[(u+tan2u)/(u-tanu)]
When differentiating the denominator it becomes 1-sec^2 u which makes the denominator 0. I was under the impression that l'hopitals rule doesn't work under this condition of g1(x) being equal to 0.
That being said, the answer sheet I have continues to the conclusion that it tends to infinity disregarding what I have seen. Am I mistaken
Many thanks
I understand the answer and the process, my question is about the restriction of when you can use L'hopital's rule. I believe you that it works here but for the reasons I said, I don't understand why. Th first order derivative function of the denominator =0 and I thought this was a condition for not using this rule. Am I mistaken?
the only time L'Hospital's Rule fails is when your limit is not an indeterminate form or when you take the limit of the quotient of the derivatives, the limit does not exist. if the limit exists, or if the limit goes to positive of negative infinite, L'Hospital's Rule is valid. so if you take you should get -