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Section 2: Intro to Taylor Polynomials

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1 Section 2: Intro to Taylor Polynomials
Taylor Polynomial: polynomial approximation centered at x = a. Maclaurin Polynomial: polynomial approximation centered at x = 0.

2 You should know…

3 Ex 1: Find the 10th degree Maclaurin Polynomial for.

4 Ex 2: Use Taylor Polynomials to evaluate.

5 And…

6 Ex 3: Find the 3rd order Maclaurin Polynomial for. A) B)

7 Polynomial Approximations…
Are exact at the center point Quality decreases as you move away from the center Quality improves as you include more terms

8 Section 2 WS #1 – 11 odds

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