9709 P32 - Jun 2011 - Q8
2068
(i) Express \(\frac{5x - x^2}{(1+x)(2+x^2)}\) in partial fractions.
(ii) Hence obtain the expansion of \(\frac{5x - x^2}{(1+x)(2+x^2)}\) in ascending powers of \(x\), up to and including the term in \(x^3\).
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