MathDB
Sequence

Source: Moldova NMO 2002 grade 11 problem nr.1

November 3, 2008
limit

Problem Statement

The sequence (an) (a_n) is defined by a1∈(0,1) a_1\in (0,1) and a_{n\plus{}1}\equal{}a_n(1\minus{}a_n) for n≥1 n\ge 1. Prove that \lim_{n\rightarrow \infty} na_n\equal{}1
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