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CALCULUS-lim-n-n-ln-2-k-1-n-1-n-k-




Question Number 133187 by mnjuly1970 last updated on 19/Feb/21
               .......CALCULUS......       lim _(n→∞) (n(ln(2)−Σ_(k=1) ^n (1/(n+k))))=?
$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:…….{CALCULUS}…… \\ $$$$\:\:\:\:\:{lim}\:_{{n}\rightarrow\infty} \left({n}\left({ln}\left(\mathrm{2}\right)−\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{\mathrm{1}}{{n}+{k}}\right)\right)=? \\ $$$$ \\ $$

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