APFIVE Fifth-Degree Taylor Polynomial for Sine
Which of the following is the fifth-degree Taylor polynomial for the function f(x) = sin(x) about x = 0?
A
x - x²/2! + x³/3! - x⁴/4! + x⁵/5!
B
x - x³/3! + x⁵/5!
C
sin(0) + cos(0)x - sin(0)x²/2 - cos(0)x³/6 + sin(0)x⁴/24 + cos(0)x⁵/120
D
x - x³/6 + x⁵/120
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