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Session 88: Examples of L'Hospital's Rule

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Overview

In this session we see how L'Hospital's rule is used and how it is related to quadratic approximation. Finally, we learn what other limits L'Hospital's rule can be applied to.

Lecture Video and Notes

Video Excerpts

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» Clip 1: Limit of sin(5x)/sin(2x) (2 min)
» Accompanying Notes (PDF)

From Lecture 35 of 18.01 Single Variable Calculus, Fall 2006


» Clip 2: Repeating L’Hospital’s Rule (6 min)
» Accompanying Notes (PDF)

From Lecture 35 of 18.01 Single Variable Calculus, Fall 2006


» Clip 3: Comparison With Approximation (2 min)
» Accompanying Notes (PDF)

From Lecture 35 of 18.01 Single Variable Calculus, Fall 2006


» Clip 4: Extensions of L’Hospital’s Rule (3 min)
» Accompanying Notes (PDF)

From Lecture 35 of 18.01 Single Variable Calculus, Fall 2006

Download the complete lectures from this course:

» iTunes U
» Internet Archive

Worked Example

 

Limits at Infinity for ex/x and x/ex

Recitation Video

 

L'Hospital Practice

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Download this video:
» iTunes U (MP4 - 23MB)
» Internet Archive (MP4 - 23MB)

 

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