Session 87: L'Hospital's Rule

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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

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» Clip 1: Introduction to L'Hospital's Rule (00:03:00)

» Accompanying Notes (PDF)

From Lecture 35 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Elementary Example of L'Hospital's Rule (00:03:00)

» Accompanying Notes (PDF)

From Lecture 35 of 18.01 Single Variable Calculus, Fall 2006

Worked Example

 

sin x/(1 − cos x) as x Approaches 0

Lecture Video and Notes

Video Excerpts

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» Clip 1: Why L'Hospital's Rule Works (00:03:00)

» Accompanying Notes (PDF)

From Lecture 35 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: L'Hospital's Rule, Version 1 (00:03:00)

» Accompanying Notes (PDF)

From Lecture 35 of 18.01 Single Variable Calculus, Fall 2006

 

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