# L'Hospital's rule

- the theorem that for the quotient of two functions satisfying certain conditions on a given closed interval, each having infinite limit or zero as limit at a given point, the limit of the quotient at the given point is equal to the limit of the quotient of the derivatives of each function.

## Origin of L'Hospital's rule^{}

named after G. F. A. L'Hospital

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018