L'Hôpital's rule, a counterexample (Q914863)
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scientific article; zbMATH DE number 4150548
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | L'Hôpital's rule, a counterexample |
scientific article; zbMATH DE number 4150548 |
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L'Hôpital's rule, a counterexample (English)
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1989
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If f and g are continuous on (a,b) and g is monotonic, l'Hôpital's rule applies to \(\lim f_+'(x)/g_+'(x)\) (right-hand derivatives) when the right-hand limits of f and g are both O. The same conclusion is valid if \(\lim | g(x)| =+\infty.\) If g is not monotonic, the rule may fail, even when \(\lim f(x)/g(x)\) exists.
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l'Hôpital's rule
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0.8340638
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