Word Count : 268

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We are asked to find (a) and (b) such that [ \lim_{x \to 0} \frac{x(1 + a \cos x) - b \sin x}{x^3} = 1. ] First, expand (\cos x) and (\sin x) using their Maclaurin series up to the (x^3) term: [ \cos _____ _____ ____ __________ ______.
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