# L'Hopital's rule

## noun

L'Ho·pi·tal's rule
ˌlō-pē-ˈtälz-

variants
or L'Hospital's rule

**:**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

Love words? Need even more definitions?

Merriam-Webster unabridged
## Share