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9709 P32 - Nov 2009 - Q8
2072

(i) Express \(\frac{1+x}{(1-x)(2+x^2)}\) in partial fractions.

(ii) Hence obtain the expansion of \(\frac{1+x}{(1-x)(2+x^2)}\) in ascending powers of \(x\), up to and including the term in \(x^2\).

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