Calculate the third-degree Taylor polynomial P3(x)P_3(x)P3(x) for f(x)=sin(x)f(x) = \sin(x)f(x)=sin(x) centered at a=0a = 0a=0.
x−x22x - \frac{x^2}{2}x−2x2
x−x36x - \frac{x^3}{6}x−6x3
1−x221 - \frac{x^2}{2}1−2x2
x+x36x + \frac{x^3}{6}x+6x3