Differential Calculus (id: c50d6df0a)

本题目来源于试卷: Differential Calculus，类别为 IB数学

[问答题]
1. Use L'Hôpital's rulewr2jy sze. v13pp0fz 9 tov9ofd/vir5u a 4oa3x 4;2 ator find $\lim _{x \rightarrow \infty} x^{3} e^{-x}$ .
2. Show that the proper integral $\int_{0}^{\infty} x^{3} e^{-x} \mathrm{~d} x$ converges, and state its value.

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