2022 HCI J2 BT Q1

2022 HCI J2 BT Q1

3 marks
Others>BT|Others>CT|Others>MYE

Using standard series from the List of Formulae (MF26), expand \({{\mathrm{e}}^{2-ax}}\) as far as the term in \({{x}^{4}}\), where \(a\) is a non-zero constant.[3]

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Answer:\(\mathrm{e}^2\left[1 - ax + \displaystyle\frac{a^2}{2}x^2 - \frac{a^3}{6}x^3 + \frac{a^4}{24}x^4 + \cdots\right]\)

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