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

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Overview

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

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» Clip 1: The Indeterminate Form 00 (00:03:00)

» Accompanying Notes (PDF)

From Lecture 35 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Limit of sin(x)/(x2) (00:06:00)

» Accompanying Notes (PDF)

From Lecture 35 of 18.01 Single Variable Calculus, Fall 2006

Worked Example

 

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

Recitation Video

 

Failure of L'Hospital's Rule

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Indeterminate Forms

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Lecture Video and Notes

Video Excerpts

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» Clip 1: L'Hospital's Rule, Continued (00:06:00)

» Accompanying Notes (PDF)

From Lecture 36 of 18.01 Single Variable Calculus, Fall 2006

 

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