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Mathematics · Question

L'Hôpital was the mathematician who created the homonymous rule that uses derivatives to evaluate limits with indeterminations.

Answer

False

The story behind the answer

False. Although it bears his name, L’Hôpital did not create the rule. Johann Bernoulli discovered it and shared it with Guillaume de l’Hôpital under a paid agreement for teaching notes. L’Hôpital published the result in his 1696 textbook—the first calculus text—giving it wide visibility. Later correspondence confirmed Bernoulli’s priority.

L’Hôpital’s Rule helps evaluate limits of indeterminate forms like 0/0 or ∞/∞ by taking derivatives of numerator and denominator (when both are differentiable near the point), sometimes repeatedly, until the limit becomes clear. Memory tip: “Bernoulli built it; L’Hôpital bought it.”

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