MathDB
Miklos Schweitzer 1951_3

Source:

October 8, 2008
limitreal analysisreal analysis unsolved

Problem Statement

Consider the iterated sequence (1) x_0,x_1 \equal{} f(x_0),\dots,x_{n \plus{} 1} \equal{} f(x_n),\dots, where f(x) \equal{} 4x \minus{} x^2. Determine the points x0 x_0 of [0,1] [0,1] for which (1) converges and find the limit of (1).