The power series for f(x) = 1 is defined as 1+ x+ x +x* +...= > >", and the power series for -sinx is defined as 1 - X 7=0 -X 20-1 - X 3 5 1=0 (2n-1)! Part A: Find the general term of the power series for g(x) = - 4 and evaluate the infinite sum when x = 1. Justify x- -4 your solution. (15 points) Part B: Find an upper bound for the error of the approximation sin(0 4) = 0.4_ (0.4)" Round your final answer to five 3! decimal places. (15 points) Part C: Find a power series for h(x) = In(1 + x) centered at x = 0 and show the work that leads to your conclusion. (10 points)