Edexcel A-level Mathematics · 9MA0

Binomial expansion

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Edexcel format & instructions

Calculator permitted. Show sufficient working in the spaces provided. Give inexact answers to 3 significant figures unless specified otherwise. The official exam provides a formulae and statistical tables booklet.

Original topic practice. This set is not a full official paper. Written work is self-reviewed against our worked solutions.

01 · Pure 1 · 100 marks · 2 hours
02 · Pure 2 · 100 marks · 2 hours
03 · Statistics & mechanics · 100 marks · 2 hours

Official specification ↗ · Official past papers ↗

QUESTION PAPER

Mathematics · A levelPure Mathematics practice · 9MA0

Torus Maths original · Edexcel style

For $|x|<1/2$ , $f(x)=\sqrt{\frac{1+2x}{1-2x}}$ .

(a)

Find the first four nonzero terms of the expansion of f(x) in ascending powers of x.

(4)

Working

(b)

For $0<x<1/2$ , explain why these four terms give an underestimate of f(x).

(3)

Working

(Total for Question 1 is 7 marks)

Question reference: edexcel-unseen-07-01Report a question →

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