18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part A: L'Hospital's Rule and Improper Integrals

Session 90: Advanced Examples of L'Hospital's Rule

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In this session we see the power of L’Hospital’s rule and some pitfalls to avoid. The session concludes with a summary of our findings on rates of growth.

Lecture Video and Notes

Video Excerpts

Clip 1: The Indeterminate Form 00

Clip 2: Limit of sin(x)/(x2)

Worked Example

Limit as x Goes to Infinity of x(1/x)

Recitation Video

Failure of L’Hospital’s Rule

Indeterminate Forms

Lecture Video and Notes

Video Excerpts

Clip 1: L’Hospital’s Rule, Continued

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Course Info

As Taught In
Fall 2010
Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Recitation Videos