Find the third degree Taylor polynomial for f(x)=ln(x)f(x) = \ln(x)f(x)=ln(x) 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
(x−1)22−(x−1)33\frac{(x-1)^2}{2} - \frac{(x-1)^3}{3}2(x−1)2−3(x−1)3
1+(x−1)−(x−1)221 + (x-1) - \frac{(x-1)^2}{2}1+(x−1)−2(x−1)2