2. (10.08 HC) The function h is defined by the power series h(x) = x + x/+3 = S 3 9 n=0 2n +1 Part A: Determine the interval of convergence of the power series for h. (10 points) Part B: Find h '(-1) and determine if the new series converges or diverges. Justify your response and discuss the relationship between the radius of convergence and interval of convergence of h(x) and h '(x). (10 points) Part C: Determine if the power series h(x2) has any points of inflection. Justify your answer. (10 points)