Apply Maclaurin's Theorem to prove \[ e^{\sin x}=1+x+\frac{1}{2} x^{2}-\frac{1}{8} x^{4}-\ldots: \]
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Apply Maclaurin's Theorem to prove
\[
e^{\sin x}=1+x+\frac{1}{2} x^{2}-\frac{1}{8} x^{4}-\ldots:
\]
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