9709 P32 - Mar 2017 - Q9
2057
Let \(f(x) = \frac{x(6-x)}{(2+x)(4+x^2)}\).
(i) Express \(f(x)\) in partial fractions.
(ii) Hence obtain the expansion of \(f(x)\) in ascending powers of \(x\), up to and including the term in \(x^2\).
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