Thanks for the reply. I'm just trying to wrap my mind around the domain of the function. You have an situation there. l'Hospital's Rule applied once gives you
If you divide everything through by , you could simplify as follows:
Now, the domain we can see to be
The behavior of this function will change depending on whether or not. For the function is going to return 1. For the function will return 1. For I think you could apply l'Hospital's rule again.
That's one approach.