Let \(\{a_n\}\) be a sequence such that \(a_1\in (0,1)\), and for any \(n\geq 1\) : \[a_{n+1}= a_n(1-a_n).\]
Find the value of
\[\lim_{n\to +\infty} \frac{n(1-na_n)}{\ln n}.\]
by
Haroun Meghaichi
