本题目来源于试卷: Differential Calculus，类别为 IB数学
[问答题]
The function f is defi0n z3agc 28mz3oo ga9/nls6ttned b(nv s p/ t7i7h+a9z:gz9ft1 wmi tohd+y $f(x)=e^{x} \cos x, x \in \mathbb{R}$ .
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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