Single Variable Calculus

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

Clip 2: Continuity

Recitation Video

Smoothing a Piecewise Function

Worked Example

Continuous but not Smooth

• Problem (PDF)
• Solution (PDF)

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