Can anyone show a simple proof of L'Hopital's Rule?

lim as x->0 of f(x)/g(x) = f'(0)/g'(0)

Thanks...

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- Nov 11th 2009, 09:27 PMjzelltL'Hopital's Rule
Can anyone show a simple proof of L'Hopital's Rule?

lim as x->0 of f(x)/g(x) = f'(0)/g'(0)

Thanks... - Nov 11th 2009, 09:53 PMredsoxfan325
- Nov 11th 2009, 11:39 PMDrexel28
**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.