N2017 P1 Q1
N2017 P1 Q1
Junior College 2
4 marks
Using standard series from the List of Formulae (MF26), expand \(\mathrm e^{2x}\ln(1+ax)\) as far as the term in \(x^3\), where \(a\) is a non-zero constant. Hence find the value of \(a\) for which there is no term in \(x^2\).[4]
Solution:
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Answer:\(ax+(2a-a^2/2)x^2+(2a-a^2+a^3/3)x^3+\cdots\); \(a=4\).
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