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soit-a-n-n-une-suite-define-par-a-n-k-1-n-1-k-ln-n-montrons-a-n-converge-




Question Number 164117 by SANOGO last updated on 14/Jan/22
soit (a_n )_n une suite define par  a_n =Σ_(k=1) ^n (1/k)−ln(n)  montrons   a_n converge
$${soit}\:\left({a}_{{n}} \right)_{{n}} {une}\:{suite}\:{define}\:{par} \\ $$$${a}_{{n}} =\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{\mathrm{1}}{{k}}−{ln}\left({n}\right)\:\:{montrons}\: \\ $$$${a}_{{n}} {converge} \\ $$

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