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Mathematical theorems are some- times like cars. I own a Honda Fit that is about as bare-bones as you can get these days, but persuading a dealer to sell me that car was like pulling teeth. The sales- man was absolutely certain that any sane customer would want to pay an extra $1,800 for such crucial amenities as floor mats and a chrome tailpipe. L’Hˆopital’s rule in its most general form is a much fancier piece of machinery than the stripped down model described in L’Hopital’s rule. The price you pay for the deluxe model is that the proof becomes much more complicated than the one-liner that sufficed for the simple version.
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