Geodesic
Sets of Convergence for Series Defined by Iteration1
Canadian mathematical bulletin, Tome 9 (1966) no. 1, pp. 83-87

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Let f(x) be a real-valued function defined on an interval Ia: [ 0, a ]. For each point x in Ia we form the series , where u0 and un+1 = f(un) for n ≥ 0. If the series converges, x will be called a point of convergence; if this series diverges, x will be called a point of divergence. La this note several properties of sets of convergence2 will be obtained. 
Brauer, George. Sets of Convergence for Series Defined by Iteration1. Canadian mathematical bulletin, Tome 9 (1966) no. 1, pp. 83-87. doi: 10.4153/CMB-1966-011-3
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