Don't go the L'Hopital route.
Look at this:
Hi there. I've found some difficulties on solving this limit:
I thought of working with the function
And then apply L'Hopital
And then I've applied L'hopital, but it didn't make the things easier. I've applied L'hopital unless two times. I don't know if what I did is right. And I think there must be an easier way of solving this.