Find the coefficient of x9 in the power series ofeach of these functions a)(x3+x5+x6)(x3+x4)(x+x2+x3+x4+...) b)(x+x4+x7+x10+...)(x2+x4+x6+x8+...) Find the coefficient of x9 in the power series ofeach of these functions a)(x3+x5+x6)(x3+x4)(x+x2+x3+x4+...) b)(x+x4+x7+x10+...)(x2+x4+x6+x8+...) Solution What you do is try how many possible unique ways you can makex9. a) x3x3x3 +x3x4x2 +x5x3x = 3x93 is thecoefficient of x9 b) xx8 + x7x2 = 2x9 2 is the coefficient of x9.