9709 P31 - Nov 2010 - Q8
2069
Let \(f(x) = \frac{3x}{(1+x)(1+2x^2)}\).
(i) Express \(f(x)\) in partial fractions. [5]
(ii) Hence obtain the expansion of \(f(x)\) in ascending powers of \(x\), up to and including the term in \(x^3\). [5]
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