Maclaurin Series Standard Series Q6

Maclaurin Series Standard Series Q6

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

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Answer:\(\cos1-x\sin1-\dfrac12(\sin1+\cos1)x^2\)

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