A shifted expansion parameter

A shifted expansion parameter

IB Year 5 | Grade 11

5 marks

Use \((1+u)^{-2}\) to expand \((2-x)^{-2}\) in powers of \(x-1\), up to degree two. State the open range of \(x\) for this expansion.[5]

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Answer:\(1+2(x-1)+3(x-1)^2+\cdots;\ 0<x<2\)

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