L'Hopital's rule
or L'Hospital's rule noun Etymology: Guillaume de l'Hôpital died 1704 French mathematician Date: 1944 a theorem in calculus: if at a given point two functions have an infinite limit or zero as a limit and are both differentiable in a neighborhood of this point then the limit of the quotient of the functions is equal to the limit of the quotient of their derivatives provided that this limit exists

New Collegiate Dictionary. 2001.

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  • L'Hôpital's rule — Guillaume de l Hôpital, after whom this rule is named. In calculus, l Hôpital s rule pronounced: [lopiˈtal] (also called Bernoulli s rule) uses derivatives to help evaluate limits involving indeterminate forms. Application …   Wikipedia

  • L'Hôpital's rule — Procedure of differential calculus for evaluating indeterminate forms such as 0/0 and ∞/∞ when they result from attempting to find a limit. It states that when the limit of f(x)/g(x) is indeterminate, under certain conditions it can be obtained… …   Universalium

  • L'Hospital's rule — noun see L Hopital s rule …   New Collegiate Dictionary

  • L'Hôpital , Marquis Guillaume François Antoine de — (1661–1704) French mathematician L Hôpital, a Parisian by birth, began his career as a cavalry officer. However, he was forced to resign because of his short sightedness and devoted the rest of his life to mathematical study and research. To this …   Scientists

  • Guillaume de l'Hôpital — Guillaume François Antoine, Marquis de l Hôpital (1661 ndash; February 2, 1704) was a French mathematician. He is perhaps best known for the rule which bears his name for calculating the limiting value of a fraction whose numerator and… …   Wikipedia

  • Guillaume-Francois-Antoine de l'Hopital —     Guillaume François Antoine de L Hôpital     † Catholic Encyclopedia ► Guillaume François Antoine de L Hôpital     Marquis de Sainte Mesme and Comte d Entremont, French mathematician; b. at Paris, 1661; d. at Paris, 2 February, 1704. Being the …   Catholic encyclopedia

  • L'Analyse des Infiniment Petits pour l'Intelligence des Lignes Courbes — (literal translation: Analysis of the infinitely small to understand curves) (1696), is the first European book about differential calculus. It was written by the French mathematician Guillaume de l HôpitalIn this book is the first appearance of… …   Wikipedia

  • rule — /roohl/, n., v., ruled, ruling. n. 1. a principle or regulation governing conduct, action, procedure, arrangement, etc.: the rules of chess. 2. the code of regulations observed by a religious order or congregation: the Franciscan rule. 3. the… …   Universalium

  • L'Hospital — The name l Hôpital (also spelled l Hospital ) was born by* Michel de L Hôpital (ca. 1505 1573), humanist and politician * Guillaume de l Hôpital (1661 1704), mathematician who later developed L Hôpital s rule …   Wikipedia

  • List of mathematics articles (L) — NOTOC L L (complexity) L BFGS L² cohomology L function L game L notation L system L theory L Analyse des Infiniment Petits pour l Intelligence des Lignes Courbes L Hôpital s rule L(R) La Géométrie Labeled graph Labelled enumeration theorem Lack… …   Wikipedia

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