Let f(x) = E Cxx* and g(x) = E dgx". k = 0 k= 0 a. Suppose the first few coefficients are c = 8, 4, 5, 9 and d, = 1, 5, 8, 9. Multiply the power series together as if they were polynomials, collecting all terms that are %3D multiples of 1, x, and x. Write the first three terms of the product f(x)g(x). b. Find a general expression for the coefficient of x" in the product series for n= 0, 1, 2, ... a. Complete the first three terms of the series below. f(x)g(x) = (O + (Ox+ (Ox? +.