Calculus BC Review: convergence, Taylor series

What is the polynomial approximation for the value of sin 1 obtained by using the fifth-degree Taylor polynomial about x=0 for sin x

• 1 - (1/2) + (1/24)

• 1 - (1/2) + (1/4)

• 1 - (1/3) + (1/5)

• 1 - (1/6) + (1/120)

Let P(x) = 3x² - 5x³ + 7x⁴ + 3x⁵ be the fifth-degree Taylor polynomial for the function f about x. What is the value of f'''(0)?

• -30

• -15

• -5

• (-5/6)

Tags

CCSS.HSF.LE.A.2

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• 1.6

• 2.35

• 2.4

• 2.45

• 2.5

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