L'hôpital's rule is a mathematical method used to evaluate limits that result in indeterminate forms, specifically $\frac{0}{0}$ or $\frac{\infty}{\infty}$. This rule states that if the limit of a function yields one of these indeterminate forms, one can take the derivative of the numerator and the derivative of the denominator separately and then re-evaluate the limit. It connects deeply with both limits and derivatives, emphasizing how differentiation can help resolve ambiguous limit situations.
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