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lim-n-n-1-1-n-1-2-n-1-2n-ln-2-




Question Number 219832 by mnjuly1970 last updated on 02/May/25
       lim_(n→∞)  n((1/(1+n)) +(1/(2+n)) +...+(1/(2n)) −ln(2))=?
$$ \\ $$$$\:\:\:\:\:{lim}_{{n}\rightarrow\infty} \:{n}\left(\frac{\mathrm{1}}{\mathrm{1}+{n}}\:+\frac{\mathrm{1}}{\mathrm{2}+{n}}\:+…+\frac{\mathrm{1}}{\mathrm{2}{n}}\:−{ln}\left(\mathrm{2}\right)\right)=? \\ $$$$ \\ $$
Answered by universe last updated on 03/May/25
Commented by mnjuly1970 last updated on 02/May/25
  thx alot sir...
$$\:\:{thx}\:{alot}\:{sir}… \\ $$

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