Approximation using the first few terms

Approximation using the first few terms

Secondary 4
TGM Original Questions

Find, in ascending powers of \(x\), the first four terms in the expansion of \(\left(1+\dfrac{x}{2}\right)^8\). Hence estimate \((1.005)^8\), correct to 5 significant figures.

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Answer:\(1+4x+7x^2+7x^3+\cdots\); \((1.005)^8\approx 1.0407\).

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