[SOLVED] Limit when Hopital's rule fails
I have a function and I'm looking for
I know the following about the functions g and h:
 and so


 for , for and for
 and finite at
 finite at
We have . At , both numerator and denominator are 0. Applying l'Hopital's rule, we obtain
.
Applying l'Hopital's rule again, we're back to where we started:
There's probably a simpler way of presenting this problem, sorry about that... If anyone knows how this kind of circularity problem is called and/or how to deal with it, I will be very grateful!