9709 P31 - Nov 2023 - Q10
2060
Let \(f(x) = \frac{24x + 13}{(1 - 2x)(2 + x)^2}\).
(a) Express \(f(x)\) in partial fractions.
(b) Hence obtain the expansion of \(f(x)\) in ascending powers of \(x\), up to and including the term in \(x^2\).
(c) State the set of values of \(x\) for which the expansion in (b) is valid.
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