About the Proof of the L’Hôpital's Rule

Gulmaro Corona-Corona

Abstract


The recent proofs of L’Hopital’s rule require the continuity of the derivatives of the functions in an interval. In this work, a proof is given so that it does not require the existence of the derivatives of the functions in any other number than the number where the limit of its ratio is calculated, more precisely the L’Hopital rule extends to locally defined and derivable functions in the number where the limit of the ratio of the functions is calculated.


Keywords


Locally defined; L’Hopital’s rule; Limit.

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