prove a few more cases of the following general statement (there are so many possibilities that you should select just a few, if any, that interest you): If lim f(x) - lim g(x)- I and lim f'(x)/g'(x) - (), then lim f (x)/g(x) . H ) ere [ ] can be a or a+ or a or oo or -oo, and can be 0 or oo or -oo, and ( ) can be I or oo or -oo
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Variants of L'Hospital rule
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