18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part A: Definition and Basic Rules

Session 8: Limits of Sine and Cosine

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When we tried to differentiate the sine and cosine functions we were left with two limits to calculate. In this session Professor Jerison calculates these limits, taking a close look at the unit circle and applying some fundamental ideas from linear approximation.

Lecture Video and Notes

Video Excerpts

Clip 1: Limit of sin(x)/x

Clip 2: Limit of (1-cos(x))/x

Clip 3: Questions and Answers

Clip 4: Derivative of sin(x), Geometric Proof

Worked Example

The Function sinc(x)

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Course Info

As Taught In
Fall 2010
Learning Resource Types
grading Exams with Solutions
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theaters Lecture Videos
assignment_turned_in Problem Sets with Solutions
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