Hi pls answer ALL parts, I will leave a nice review thank you :)

The power series for f(x) = - 1 00 is defined as 1+ x+ x2 + x3 +...= E x", and the power series for sinx is defined as 1 - X n=0 = E (-1)7 x 20-1 X 31 51 7! n=0 (2n-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 x2 - 2 solution. (15 points) 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 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)