Find the series expansion of ${{e}^{4x}}\sin x$, up to and including the term in ${{x}^{4}}$.[3]

Question

Find the series expansion of ${{e}^{4x}}\sin x$, up to and including the term in ${{x}^{4}}$.[3] Using your answer in (i), find the series expansion of ${{e}^{4x}}\cos x$, up to and including the term in ${{x}^{3}}$.[2]

Accepted Answer

(i) x+4x^2+(47/6)x^3+10x^4+...; (ii) 1+4x+(15/2)x^2+(26/3)x^3+...

YJC P2 Q3

YJC P2 Q3

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