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1 Pure Mathematics

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Question 422

You are given that

(1+x)−12=1−12x+38x2−516x3+⋯\displaystyle (1+x)^{-\frac12}=1-\frac12x+\frac38x^2-\frac5{16}x^3+\cdots(1+x)−21​=1−21​x+83​x2−165​x3+⋯.

Find the expansion of 1+2x1+x\dfrac{1+2x}{\sqrt{1+x}}1+x​1+2x​ up to and including the term in x3x^3x3.

[5]
Markscheme

1 Pure Mathematics Questions

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