Calculus I (MATH 101) L'Hopital's Rule and Indeterminate Forms Practice Problems
University of California, Berkeley
Calculus I (MATH 101) | Practice Problems

Overview
Practice problems for evaluating limits using L'Hopital's Rule and algebraic rewriting for indeterminate forms.

Key topics
•0/0 and infinity/infinity limits
•rewriting for 0*infinity and infinity-infinity forms
•exponential and logarithmic limits
•repeated applications and stopping criteria

Suggested study tasks
•identify the indeterminate form before differentiating
•rewrite one 0*infinity limit into a quotient
•apply L'Hopital's Rule correctly with derivatives
•decide when to switch to algebraic simplification
•verify the final limit with domain checks

Common pitfalls
•using L'Hopital when conditions are not met
•differentiating only the numerator
•forgetting chain rule on exp and ln
•repeating without simplifying