A quotient of two expansions

A quotient of two expansions

IB Year 5 | Grade 11

7 marks

Expand \(\frac{\sqrt{1+2x}}{1-3x}\) up to and including the term in \(x^3\). State the common open range of validity.[7]

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Answer:\(1+4x+\frac{23}2x^2+35x^3+\cdots;\ |x|<\frac13\)

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