Maclaurin Series Standard Series Q4

Maclaurin Series Standard Series Q4

Using standard series from the List of Formulae (MF 27), expand \({{e}^{1-x}}\ln \left( 5+2x \right)\) up to and including the term in \({{x}^{2}}\).

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Answer:\(e\left[ \ln 5+\left( \frac{2}{5}-\ln 5 \right)x+\left( \frac{\ln 5}{2}-\frac{12}{25} \right){{x}^{2}} \right]+...\)

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