Putnam 1966 A3
- Session A
\begin{array}{l} \text { A-3. Let } 0<x_{1}<1 \text { and } x_{n+1}=x_{n}\left(1-x_{n}\right), n=1,2,3, \cdots \text {. Show that }\ \lim {n \rightarrow \infty} n x{n}=1 \end{array}
Dataset text PutnamGAP. Quoted with source.
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