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References: L'Hospital's Rule and Contextual Applications

  1. L'Hôpital's rule - Wikipedia - Statement, proof, and examples of L'Hôpital's rule for 0/0 and infinity/infinity indeterminate forms. Core reference for the primary technique taught in this chapter.

  2. Indeterminate form - Wikipedia - Classifies all seven indeterminate forms and explains transformation techniques. Essential for understanding which limits require L'Hôpital's rule or algebraic manipulation.

  3. Guillaume de l'Hôpital - Wikipedia - Historical context of L'Hôpital and Johann Bernoulli's contributions. Adds mathematical history perspective to the chapter's narrative.

  4. Calculus: Early Transcendentals (9th Edition) - James Stewart - Cengage Learning - Section 4.4 covers L'Hôpital's rule with careful attention to verifying hypotheses and handling all indeterminate form types.

  5. Thomas' Calculus (15th Edition) - Joel Hass, Christopher Heil, Maurice Weir - Pearson - Section 4.5 presents L'Hôpital's rule with extensive examples and warnings about common misapplications.

  6. L'Hôpital's Rule - Paul's Online Math Notes - Comprehensive examples covering 0/0, infinity/infinity, and converted forms (0·infinity, 1^infinity, etc.) with step-by-step solutions.

  7. L'Hôpital's Rule Practice - Khan Academy - Interactive practice problems on applying L'Hôpital's rule with AP-aligned difficulty levels.

  8. L'Hôpital's Rule - Organic Chemistry Tutor - Video tutorial covering all indeterminate forms with clear explanations of when and how to apply the rule.

  9. Derivatives in Context - Khan Academy - Practice problems interpreting the derivative in real-world contexts including rates, marginal analysis, and related rates.

  10. Indeterminate Forms and L'Hôpital's Rule - Whitman College Calculus - Open-source treatment with proofs, counterexamples showing when the rule fails, and exercises.