Find the degree three Taylor polynomial T3 centered at x = 0 for f when f(x)= = 1 (4x + 1)¹/2 1. T3(x) = x + 6x² +20x³ 2. T3(x) = 1+ 2x - 6x2 +20x³ 3. T3(x) = 1 - 2x + 12x² - 120x³ 4. T3(x) = 1 - 2x + 6x² - 20x³ 5. T3(x) x-2x² - 20x³ 6. T3(x) 1+ 2x2x2 - 20x³ =

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Is it option4?
Find the degree three Taylor polynomial T3
centered at x = 0 for f when
f(x) =
1
(4x + 1)1/2
1. T3(x) = x+6x² +20x³
2. T3(x)
1+2x6x² +20x³
3. T3(x) = 1- 2x + 12x² - 120x³
4. T3(x)
1-2x + 6x² - 20x³
5. T3(x)
6. T3(x) = 1 + 2x - 2x² - 20x³
←
=
= x-2x²-20x³
Transcribed Image Text:Find the degree three Taylor polynomial T3 centered at x = 0 for f when f(x) = 1 (4x + 1)1/2 1. T3(x) = x+6x² +20x³ 2. T3(x) 1+2x6x² +20x³ 3. T3(x) = 1- 2x + 12x² - 120x³ 4. T3(x) 1-2x + 6x² - 20x³ 5. T3(x) 6. T3(x) = 1 + 2x - 2x² - 20x³ ← = = x-2x²-20x³
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