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Meaning of L'Hospital's rule

L'Hospital's' rule'

Pronunciation: [key]
— Math. Math.
  1. 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.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.