Variant: or L'Hos · pi · tal's rule
Pronunciation: ˌ l ō -p ē - ' tälz-
Function: noun
Etymology: Guillaume de l'Hôpital † 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