What is the second-degree Taylor polynomial 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) - \frac{(x-1)^2}{2}(x−1)−2(x−1)2
(x−1)+(x−1)22(x-1) + \frac{(x-1)^2}{2}(x−1)+2(x−1)2
1+(x−1)−(x−1)221 + (x-1) - \frac{(x-1)^2}{2}1+(x−1)−2(x−1)2
1+(x−1)+(x−1)221 + (x-1) + \frac{(x-1)^2}{2}1+(x−1)+2(x−1)2