本题目来源于试卷: Maclaurin Series，类别为 IB数学
[问答题]
The function f is den yi)v-oi 3*jbv ;l:(ubf(j8e zq3l nnfinedrpap a3coxjkt 23+:munu09n : by $ f(x)=e^{x} \cos x, x \in \mathbb{R} $.
1. By finding a suitable number of derivatives of f , determine the Maclaurin series for f(x) as far as the term $x^{4} $.
2. Hence, or otherwise, determine the exact value of $\lim _{x \rightarrow 0} \frac{e^{x} \cos x-x-1}{x^{3}} $.
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