Overview
Early in the course we discussed limits and things that could go wrong when trying to compute them. For example, we might end up trying to divide zero by zero when calculating a limit. L'Hospital's rule is the tool we employ when this is unavoidable.
Lecture Video and Notes
Video Excerpts
» Clip 1: Introduction to L'Hospital's Rule (00:03:00)
From Lecture 35 of 18.01 Single Variable Calculus, Fall 2006
Clip 1: Introduction to L'Hospital's Rule
> Download from iTunes U (MP4 - 107MB)
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» Clip 2: Elementary Example of L'Hospital's Rule (00:03:00)
From Lecture 35 of 18.01 Single Variable Calculus, Fall 2006
Clip 2: Elementary Example of L'Hospital's Rule
> Download from iTunes U (MP4 - 107MB)
> Download from Internet Archive (MP4 - 107MB)
Worked Example
sin x/(1 − cos x) as x Approaches 0
Lecture Video and Notes
Video Excerpts
» Clip 1: Why L'Hospital's Rule Works (00:03:00)
From Lecture 35 of 18.01 Single Variable Calculus, Fall 2006
» Clip 2: L'Hospital's Rule, Version 1 (00:03:00)
From Lecture 35 of 18.01 Single Variable Calculus, Fall 2006