AQA Paper 1 2022 June — Question 6

Exam BoardAQA
ModulePaper 1 (Paper 1)
Year2022
SessionJune
TopicGeneralised Binomial Theorem
TypeApproximation for small x

6
  1. Find the first two terms, in ascending powers of \(x\), of the binomial expansion of $$\left( 1 - \frac { x } { 2 } \right) ^ { \frac { 1 } { 2 } }$$ 6
  2. Hence, for small values of \(x\), show that $$\sin 4 x + \sqrt { \cos x } \approx A + B x + C x ^ { 2 }$$ where \(A , B\) and \(C\) are constants to be found.