Lesson 25: Indeterminate Forms and L'Hôpital's Rule

This document discusses indeterminate forms and L'Hopital's rule. It introduces indeterminate forms as limits that can have different values depending on the approach, such as 0/0 or infinity/infinity forms. It then presents L'Hopital's rule, which states that if the limit of the numerator and denominator of a quotient both approach 0, infinity, or negative infinity, the limit can be evaluated by taking the derivative of the numerator and denominator and rearranging terms. Examples are provided to demonstrate how L'Hopital's rule can be used to evaluate indeterminate forms. The document also provides biographical information about Guillaume de l'Hopital, after whom the rule is named.