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Concept · from MIT 18.01SC Single Variable Calculus

Advanced Examples of L'Hospital's Rule

About these materials

MIT's own material for this topic, in MIT's order: Session 90: Advanced Examples of L'Hospital's Rule.

Source: MIT OpenCourseWare 18.01SC Single Variable Calculus, Fall 2010, Prof. David Jerison — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Order: the items appear in the order MIT's own session page lists them. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 22, 2026. How RedLectern is built.

MIT's session, in MIT's order

MIT 18.01SC · 5. Exploring the Infinite · Part A: L'Hospital's Rule and Improper Integrals · This session on MIT OpenCourseWare ↗

Lecture Video and Notes · Video Excerpts

  1. Clip 1: The Indeterminate Form 00Lecture clip · 39:47–42:42 · 2:55 long · transcript Watch Notes (PDF) ↗
  2. Clip 2: Limit of sin(x)/(x2)Lecture clip · 42:42–48:42 · 6:00 long · transcript Watch Notes (PDF) ↗

Worked Example

Recitation Video · Failure of L’Hospital’s Rule

  1. Failure of L'Hospital's RuleProblem-solving video · transcript Watch

Recitation Video

  1. Indeterminate FormsProblem-solving video · transcript Watch

Lecture Video and Notes · Video Excerpts

  1. Clip 1: L'Hospital's Rule, ContinuedLecture clip · 0:20–6:50 · 6:30 long · transcript Watch Notes (PDF) ↗

Where this sits in MIT 18.01SC

Open this session in the full course 18.01SC Single Variable Calculus: all units →

MIT OpenCourseWare, Prof. David Jerison, 18.01SC Single Variable Calculus, Fall 2010.

License: CC BY-NC-SA 4.0 · Edition: Fall 2010 · Open the original course on OCW ↗

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