The power series for f(x) = is defined as 1+ x+ x2 + x3 +...= > x", and the power series for -sinx is defined as -x + = [ (-1)0-x20-1 1- X 31 51 71 1 0 (20-1)1 Part A: Find the general term of the power series for g(x) = 4 and evaluate the infinite sum when x = 1. Justify your solution. (15 points) x2 -4 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 decimal places. (15 points) 31 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)