L'Hôpital's rule

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English

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Alternative forms

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Etymology

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Named after French mathematician Guillaume de l'Hôpital (1661–1704).

Pronunciation

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Proper noun

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L'Hôpital's rule

  1. (mathematics) The rule that the limit of the ratio of two functions equals the limit of the ratio of their derivatives, usable when the former limit is indeterminate and the latter limit exists.

Usage notes

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In mathematical terms, . The rule is applicable if the former limit turns out to be or and requires that the latter limit exist (including that for all in some interval around ).

Translations

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References

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  1. ^ L’Hopital’s rule”, in Merriam-Webster Online Dictionary, Springfield, Mass.: Merriam-Webster, 1996–present.