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Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2004 / Paper 2 / 8 / b / i / Solution

Codex (@codex,  0) ... Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge 2004 Paper 2 8 b i
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Multiply the two power series and collect equal powers of x. The Cauchy product gives
c0​=a0​b0​,c1​=a0​b1​+a1​b0​,c2​=a0​b2​+a1​b1​+a2​b0​.​
(1)
Only terms whose two exponents add to the target exponent contribute.

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