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La regla de l’Hôpital sirve para resolver muchos casos de límites que den indeterminación, especialmente los casos más complejos, exponenciales o términos no racionales.Se aplica directamente a límites con indeterminaciones del tipo 0/0 o ∞/∞.Eso no impide que pueda aplicarse a otros casos de límites indeterminados, realizando transformaciones para llegar a una de los tipos ...
L'Hôpital's rule helps us evaluate indeterminate limits of the form 0 0 or ∞ ∞ . In other words, it helps us find lim x → c u ( x) v ( x) , where lim x → c u ( x) = lim x → c v ( x) = 0 (or, alternatively, where both limits are ± ∞ ). The rule essentially says that if the limit lim x → c u ′ ( x) v ′ ( x) exists, then the ...
2 de feb. de 2015 · Given his family background it is not surprising that Guillaume de l'Hôpital followed a military career and served as a captain in a cavalry regiment. He certainly did not give up his interest in mathematics, as Fontenelle explains [7]:-. He entered into the service, but without giving up his dearest passion.
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In this section, we examine a powerful tool for evaluating limits. This tool, known as L’Hôpital’s rule, uses derivatives to calculate limits.With this rule, we will be able to evaluate many limits we have not yet been able to determine.
