Quantum redactiones paginae "Hospitalii regula" differant

 

 

In [[calculus]], '''l'Hôpital's rule''' (often incorrectly '''l'Hospital's rule''') uses [[derivative]]s to help compute [[limit (mathematics)|limit]]s with [[indeterminate form]]s. Application (or repeated application) of the rule often converts an indeterminate form to a [[indeterminate form|determinate form]], allowing easy computation of the limit. The rule is named after the [[17th century|17th-century]] French mathematician [[Guillaume de l'Hôpital]], who published the rule in his book ''Analyse des infiniment petits pour l'intelligence des lignes courbes'' (literally: Analysis of the infinitely small to understand curves) ([[1696]]), the first book to be written on [[differential calculus]].-->

==Explicatio==

===Praefatio===

 

:<math>\lim_{x\to c}\frac{f(x)}{g(x)} = \lim_{x\to c}\frac{f'(x)}{g'(x)}</math>