2007 H2 Mathematics

Paper 2 Question 3

(a)

By successively differentiating (1+x)n, find Maclaurin’s series for (1+x)n, up to and including the term in x3.

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(b)

Obtain the expansion of (4x)32(1+2x2)32 up to and including the term in x3.

[5]
(c)

Find the set of values of x for which the expansion in part (b) is valid.

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