Single Variable Calculus

Session 26: Using Quadratic Approximations

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Overview

In this session we see some examples of quadratic approximation, then finish compiling a “library” of quadratic approximations of key functions.

Lecture Video and Notes

Video Excerpts

Clip 1: List of Approximations

Clip 2: Example: ln((1+1/k)k)

Clip 3: Example: Approximation of a Complicated Function

Recitation Video

Quadratic Approximation of a Product

Lecture Video and Notes

Video Excerpts

Clip 1: Approximating ln(1+x) and (1+x)r

Worked Example

Finding a Formula for the Best Degree n Approximation

• Problem (PDF)
• Solution (PDF)

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