Standard partial fractions with series expansion

Denominator has distinct linear factors only; expand each partial fraction using standard binomial series (1±x)^(-1) or (1±ax)^(-1).

1 questions · Standard +0.3

1.02y Partial fractions: decompose rational functions
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CAIE P3 2015 June Q8
10 marks Standard +0.3
  1. Express \(\mathrm { f } ( x )\) in partial fractions.
  2. Hence obtain the expansion of \(\mathrm { f } ( x )\) in ascending powers of \(x\), up to and including the term in \(x ^ { 2 }\). [5]