L'Hopital's Rule provides a technique to evaluate limits of indeterminate forms (like 0/0 or ∞/∞). It states that the limit of the ratio of two functions is equal to the limit of the ratio of their derivatives.
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Pro Tips
Check Validity: Ensure the limit is actually 0/0 or ∞/∞ before applying the rule.
Differentiation: You differentiate the numerator and denominator separately, NOT using the Quotient Rule.
Repeated Use: If the new limit is still indeterminate, you can apply the rule again.
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Fun Facts
"The rule is named after Guillaume de l'Hôpital, but it was actually discovered by his tutor, Johann Bernoulli."
"L'Hôpital published the rule in the first textbook on differential calculus in 1696."
