2024 SJI P2 Q2

2024 SJI P2 Q2

IB Year 5 | Grade 11
6 marks
  1. Expand \(\dfrac{1+2x}{\sqrt{9-x}}\) in ascending powers of \(x\), up to and including the \(x^2\) term.[4]
  2. State the values of \(x\) for which the expansion is valid.[2]

Solution:

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Answer:(a) \(\dfrac13+\dfrac{37}{54}x+\dfrac{25}{648}x^2+\cdots\) (b) \(-9<x<9\)

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