OCR C4 2011 January — Question 1

Exam BoardOCR
ModuleC4 (Core Mathematics 4)
Year2011
SessionJanuary
TopicGeneralised Binomial Theorem
TypeComposite substitution expansion
1
  1. Expand \(( 1 - x ) ^ { \frac { 1 } { 2 } }\) in ascending powers of \(x\) as far as the term in \(x ^ { 2 }\).
  2. Hence expand \(\left( 1 - 2 y + 4 y ^ { 2 } \right) ^ { \frac { 1 } { 2 } }\) in ascending powers of \(y\) as far as the term in \(y ^ { 2 }\).
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