2020 SJI P1 Q3

2020 SJI P1 Q3

IB Year 5 | Grade 11
6 marks
  1. Expand \(\dfrac{1}{(1-3x)^2}\) in ascending powers of \(x\) up to the term in \(x^3\).[2]
  2. Hence, expand \(\left(\dfrac{1-x}{1-3x}\right)^2\) in ascending powers of \(x\) up to the term in \(x^2\).[3]
  3. State the range of values of \(x\) such that the expansions above are valid.[1]

Solution:

Solution locked

Sign in to view the step-by-step solution

Similar questions are unavailable for this question.
Answer:(a) \(1+6x+27x^2+108x^3+\cdots\) (b) \(1+4x+16x^2+\cdots\) (c) \(-\dfrac13<x<\dfrac13\)

Need help? Join our JC Math tuition classes.

Learn more