Session 4: Limits and Continuity

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Overview

The main formula for the derivative involves a limit. This session discusses limits in more detail and introduces the related concept of continuity.

Lecture Video and Notes

Video Excerpts

» Clip 1: Limits (00:09:00)

» Accompanying Notes (PDF)

From Lecture 2 of 18.01 Single Variable Calculus, Fall 2006

» Clip 2: Continuity (00:04:00)

» Accompanying Notes (PDF)

From Lecture 2 of 18.01 Single Variable Calculus, Fall 2006

Recitation Video

Smoothing a Piecewise Function

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> Download from iTunes U (MP4 - 20MB)

> Download from Internet Archive (MP4 - 20MB)

> Download English-US transcript (PDF)

> Download English-US caption (SRT)

Worked Example

Continuous but not Smooth

 

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