00 Let f(x) = E Cxx* and g(x) = dxx. k=0 k = 0 a. Suppose...

 

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00 Let f(x) = E Cxx* and g(x) = dxx. k=0 k = 0 a. Suppose the first few coefficients are c = 8, 3, 6, 7 and dy = 7, 4, 9, 6. Multiply the power series together as if they were polynomials, collecting all terms that are 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 forn=0, 1, 2, .. a. Complete the first three terms of the series below. f(x)g(x) = (O + (Ox+ (O+ ... 00 Let f(x) = E Cxx* and g(x) = dxx. k=0 k = 0 a. Suppose the first few coefficients are c = 8, 3, 6, 7 and dy = 7, 4, 9, 6. Multiply the power series together as if they were polynomials, collecting all terms that are 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 forn=0, 1, 2, .. a. Complete the first three terms of the series below. f(x)g(x) = (O + (Ox+ (O+ ...