Find the third Taylor polynomial P3(x)P_3(x)P3(x) for f(x)=ln(x)f(x) = \ln(x)f(x)=ln(x) centered at a=1a=1a=1.
(x−1)−(x−1)22+(x−1)33(x-1) - \frac{(x-1)^2}{2} + \frac{(x-1)^3}{3}(x−1)−2(x−1)2+3(x−1)3
(x−1)+(x−1)22+(x−1)33(x-1) + \frac{(x-1)^2}{2} + \frac{(x-1)^3}{3}(x−1)+2(x−1)2+3(x−1)3
1+(x−1)−(x−1)22+(x−1)331 + (x-1) - \frac{(x-1)^2}{2} + \frac{(x-1)^3}{3}1+(x−1)−2(x−1)2+3(x−1)3
(x−1)−(x−1)2+(x−1)3(x-1) - (x-1)^2 + (x-1)^3(x−1)−(x−1)2+(x−1)3