Can anyone show a simple proof of L'Hopital's Rule?
lim as x->0 of f(x)/g(x) = f'(0)/g'(0)
redsoxfan325's proof is quite a common reasoning, but for a rigorous proof you need a bit of machinery. Namely, what really is a derivative? etc.
@redsoxfan325- I of course in no way am implying that you don't know that (I have seen your posts and you obviously do) but am merely making an observation for the OP.