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The rule that resolves such a limit by differentiating numerator and denominator separately is:

ALaplace's rule
BL'Hopital's rule
CLeibniz's rule
DLagrange's rule
Answer & Solution
Correct answer: B. L'Hopital's rule
1. The quotient itself is not differentiated as a quotient. 2. Top and bottom are differentiated on their own, then the limit retried. 3. That is L'Hopital's rule. _Source: OpenStax Calculus Volume 1, Chapter 4, Applications of Derivatives._
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