Integral Calculus (id: 698b56cc4)

本题目来源于试卷: Integral Calculus，类别为 IB数学

[问答题]
1. Use L'Hôpital's rule to fi-ie y j,8c0hfn2gqqx, n )fe 0ls;xjoy-d $\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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