Would appreciate it if anyone could help me out with the following: $U_i \sim Uniform(0,1) \ for\ i=1...N$ are N iid random variables. Show that $lim_{N \rightarrow \infty} \frac{\sum_{i=1}^{N} log(U_i)}{N}=-1$.
Thanks!
2026-04-29 18:18:22.1777486702
Limit of sum of uniformly distributed variables divided by N
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