9709 P33 - Nov 2016 - Q8
2058
Let \(f(x) = \frac{3x^2 + x + 6}{(x+2)(x^2+4)}\).
(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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