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calculate-lim-n-i-1-n-j-1-n-1-i-j-i-j-




Question Number 32345 by abdo imad last updated on 23/Mar/18
calculate lim_(n→∞)   Σ_(i=1) ^n  Σ_(j=1) ^n    (((−1)^(i+j) )/(i+j)) .
$${calculate}\:{lim}_{{n}\rightarrow\infty} \:\:\sum_{{i}=\mathrm{1}} ^{{n}} \:\sum_{{j}=\mathrm{1}} ^{{n}} \:\:\:\frac{\left(−\mathrm{1}\right)^{{i}+{j}} }{{i}+{j}}\:. \\ $$

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