let u_0 =x ≠o and u_(n+1) =ln(((e^u_n −1)/u_n )) 1) study the convervence of (u_n ) 2)find Σ_(n=0) ^∞ (Π_(k=0) ^n u


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Question Number 34313 by prof Abdo imad last updated on 03/May/18

$l e t u_{0} = x \neq o a n d u_{n + 1} = l n (\frac{e^{u_{n}} - 1}{u_{n}})$ $1) s t u d y t h e c o n v e r v e n c e o f (u_{n})$ $2) f i n d \sum_{n = 0}^{\infty} (\prod_{k = 0}^{n} u_{k}) .$
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