A2 June 2019 Paper 1 Q2

2 The first two non-zero terms of the Maclaurin series expansion of \(\mathrm{f}(x)\) are \(x\) and \(-\dfrac{1}{2}x^3\)

Which one of the following could be \(\mathrm{f}(x)\)?

Circle your answer. [1 mark]

• \(x\mathrm{e}^{\frac{1}{2}x^2}\)
• \(\dfrac{1}{2}\sin 2x\)
• \(x\cos x\)
• \((1 + x^3)^{-\frac{1}{2}}\)