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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,

0o 〉 k=0 〉 deX k=0 Let f(x)- Oxx and g(x)- a. Suppose the first few coefficients are c-8,3, 6,7 and dk7,4, 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 fx)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. 2 f(x)g(x)=(D + Ox+0x2 + .. 

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+ ...

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