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Question Number 36921 by maxmathsup by imad last updated on 07/Jun/18

study the convergence of  u_1 =ln(2) and u_n =Σ_(k=1) ^(n−1) ln(2−u_k ).

$${study}\:{the}\:{convergence}\:{of}\:\:{u}_{\mathrm{1}} ={ln}\left(\mathrm{2}\right)\:{and}\:{u}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}−\mathrm{1}} {ln}\left(\mathrm{2}−{u}_{{k}} \right). \\ $$

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