# Sequential limit.

Calculus Level 5

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

$\lim_{n\to +\infty} \frac{n(1-na_n)}{\ln n}.$

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