Maclaurin Series Standard Series Q3

Maclaurin Series Standard Series Q3

Using standard series from the List of Formulae (MF 27), expand \({e^{3x}\ln(2+x)}\) up to and including the term in \({x^{2}}\).

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Answer:\(\ln 2+\left( \frac{1}{2}+3\ln 2 \right)x+\left( \frac{11}{8}+\frac{9}{2}\ln 2 \right){{x}^{2}}+...\)

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