OCR A-level Mathematics A · H240

Binomial expansion

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QUESTION PAPER

Mathematics · A levelPure mathematics · H240/01

Torus Maths original · OCR 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]

(b)

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

[3]

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

Answer booklet

Question 1 · Show your working

(a)

Answer booklet · Question 1(a)

(b)

Answer booklet · Question 1(b)

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