The power series for f(x) = 1is defined as 1+ x + x2 + x3 +... = [ x", and the power series for cosx is defined as 1 + ...= 5 (- 1)0 x 2n 1 - X 1=0 2! 4! 6! 1=0 (2n) ! 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) x 2 - 6 Part B: Find an upper bound for the error of the approximation sin(0.6) = 0.6_ (0.6) Round your final answer to five decimal places. (15 points) 3! Part C: Find a power series for h(x) = In(1 - 2x) centered at x = 0 and show the work that leads to your conclusion. (10 points)