9709 P3 - Nov 2005 - Q9
2076
(i) Express \(\frac{3x^2 + x}{(x+2)(x^2+1)}\) in partial fractions.
(ii) Hence obtain the expansion of \(\frac{3x^2 + x}{(x+2)(x^2+1)}\) in ascending powers of \(x\), up to and including the term in \(x^3\).
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