5.
$$f ( x ) = \frac { 5 - 8 x } { ( 1 + 2 x ) ( 1 - x ) ^ { 2 } }$$
- Express \(\mathrm { f } ( x )\) in partial fractions.
- Find the series expansion of \(\mathrm { f } ( x )\) in ascending powers of \(x\) up to and including the term in \(x ^ { 3 }\), simplifying each coefficient.
- State the set of values of \(x\) for which your expansion is valid.
5. continued