SPS SPS FM 2025 February — Question 2

Exam BoardSPS
ModuleSPS FM (SPS FM)
Year2025
SessionFebruary
TopicGeneralised Binomial Theorem
TypeProduct with linear term

2. (i) Find the first three terms in the expansion of \(( 1 - 2 x ) ^ { - \frac { 1 } { 2 } }\) in ascending powers of \(x\), where \(| x | < \frac { 1 } { 2 }\).
(ii) Hence find the coefficient of \(x ^ { 2 }\) in the expansion of \(\frac { x + 3 } { \sqrt { 1 - 2 x } }\).
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