18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

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

Session 88: Examples of L'Hospital's Rule

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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

Clip 1: Limit of sin(5x)/sin(2x)

Clip 2: Repeating L’Hospital’s Rule

Clip 3: Comparison With Approximation

Clip 4: Extensions of L’Hospital’s Rule

Worked Example

Limits at Infinity for ex/x and x/ex

Recitation Video

L’Hospital Practice

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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