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- L'Hôpital's_rule abstract "In calculus, l'Hôpital's rule (pronounced: [lopiˈtal]) uses derivatives to help evaluate limits involving indeterminate forms. Application (or repeated application) of the rule often converts an indeterminate form to a determinate form, allowing easy evaluation of the limit. The rule is named after the 17th-century French mathematician Guillaume de l'Hôpital (also written L'Hospital), who published the rule in his book Analyse des Infiniment Petits pour l'Intelligence des Lignes Courbes (literal translation: Analysis of the Infinitely Small for the Understanding of Curved Lines) (1696), the first textbook on differential calculus. However, it is believed that the rule was discovered by the Swiss mathematician Johann Bernoulli.The Stolz–Cesàro theorem is a similar result involving limits of sequences, but it uses finite difference operators rather than derivatives.In its simplest form, l'Hôpital's rule states that for functions f and g which are differentiable on I ∖ {c} , where I is an open interval containing c:If, and exists, andfor all x in I with x ≠ c,then.The differentiation of the numerator and denominator often simplifies the quotient and/or converts it to a determinate form, allowing the limit to be evaluated more easily.".
- L'Hôpital's_rule thumbnail Guillaume_de_l'Hôpital.jpg?width=300.
- L'Hôpital's_rule wikiPageID "18531".
- L'Hôpital's_rule wikiPageRevisionID "606765248".
- L'Hôpital's_rule first "L.D.".
- L'Hôpital's_rule id "L%27Hospital_rule&oldid=14236".
- L'Hôpital's_rule last "Kudryavtsev".
- L'Hôpital's_rule title "L'Hospital rule".
- L'Hôpital's_rule subject Category:Articles_containing_proofs.
- L'Hôpital's_rule subject Category:Limits_(mathematics).
- L'Hôpital's_rule subject Category:Theorems_in_calculus.
- L'Hôpital's_rule subject Category:Theorems_in_real_analysis.
- L'Hôpital's_rule comment "In calculus, l'Hôpital's rule (pronounced: [lopiˈtal]) uses derivatives to help evaluate limits involving indeterminate forms. Application (or repeated application) of the rule often converts an indeterminate form to a determinate form, allowing easy evaluation of the limit.".
- L'Hôpital's_rule label "L'Hôpital's rule".
- L'Hôpital's_rule label "Regel van l'Hôpital".
- L'Hôpital's_rule label "Regel von L’Hospital".
- L'Hôpital's_rule label "Regla de l'Hôpital".
- L'Hôpital's_rule label "Regola di de l'Hôpital".
- L'Hôpital's_rule label "Regra de l'Hôpital".
- L'Hôpital's_rule label "Reguła de l'Hospitala".
- L'Hôpital's_rule label "Règle de L'Hôpital".
- L'Hôpital's_rule label "Правило Лопиталя".
- L'Hôpital's_rule label "قاعدة لوبيتال".
- L'Hôpital's_rule label "ロピタルの定理".
- L'Hôpital's_rule label "洛必达法则".
- L'Hôpital's_rule sameAs L'H%C3%B4pital's_rule.
- L'Hôpital's_rule sameAs L'Hospitalovo_pravidlo.
- L'Hôpital's_rule sameAs Regel_von_L’Hospital.
- L'Hôpital's_rule sameAs Regla_de_l'Hôpital.
- L'Hôpital's_rule sameAs L'Hôpitalen_erregela.
- L'Hôpital's_rule sameAs Règle_de_L'Hôpital.
- L'Hôpital's_rule sameAs Aturan_L'Hôpital.
- L'Hôpital's_rule sameAs Regola_di_de_l'Hôpital.
- L'Hôpital's_rule sameAs ロピタルの定理.
- L'Hôpital's_rule sameAs 로피탈의_정리.
- L'Hôpital's_rule sameAs Regel_van_l'Hôpital.
- L'Hôpital's_rule sameAs Reguła_de_l'Hospitala.
- L'Hôpital's_rule sameAs Regra_de_l'Hôpital.
- L'Hôpital's_rule sameAs Q190557.
- L'Hôpital's_rule sameAs Q190557.
- L'Hôpital's_rule wasDerivedFrom L'Hôpital's_rule?oldid=606765248.
- L'Hôpital's_rule depiction Guillaume_de_l'Hôpital.jpg.