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CAPE Pure Mathematics Unit 2 · May/June 2014 · Paper 2 · Question 3(b)

Find the Maclaurin expansion for f(x) = (1 + x)^2 \sin x up to and including the term in x^3.

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  1. 3(a)(i)Prove, by mathematical induction, that for n \in \mathbb{N},…[8 marks]
  2. 3(a)(ii)Hence, or otherwise, find \lim_{n \to \infty} S_n.[3 marks]

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