Match each of the power series with its interval of convergence. (x - 6)n 1. 6n n=1 (7x) " 2. n=1 n!(7x - 6)" 3. 6n n=1 (x - 6)n 4. M n=1 (n!) (6) 72 A. {6/7} B. (0, 12) C. (-00, 00) D. [7 , +]Suppose that f(x) and g(a) are given by the power series f(z) = 2+ 4x + 3x2+2x3 + ... and g(z) = 5 + 4x + 2x2 + 4x3 + .... By multiplying power series, find the first few terms of the series for the product h(x) = f(x) . g(x) = co+ cla + czar? + czar3 +.... Co= C1 =