is defined as 1+ x+ x2 + x3 +...= _ x", and the power series for sinx is defined as x (-1)0 x20-1 The power series for f(x) =: = 1 - X 3! 5! 7! n=0 n=0 (2n-1)!' 4 Part A: Find the general term of the power series for g(x) =- and evaluate the infinite sum when x = 1. Justify your solution. (15 points) x 2 - 2 Part B: Find an upper bound for the error of the approximation sin(0.3) = 0.3_ (0.3) Round your final answer to five decimal places. (15 points) 3! 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)