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

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» Clip 1: Limits (9 min)
» Accompanying Notes (PDF)

From Lecture 2 of 18.01 Single Variable Calculus, Fall 2006

» Clip 2: Continuity (4 min)
» Accompanying Notes (PDF)

From Lecture 2 of 18.01 Single Variable Calculus, Fall 2006

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Recitation Video

Smoothing a Piecewise Function

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» Internet Archive (MP4 - 20MB)

Worked Example

Continuous but not Smooth

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Session 4: Limits and Continuity

Overview

Lecture Video and Notes

Video Excerpts

Recitation Video

Smoothing a Piecewise Function

Worked Example

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