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Question Number 50408 by Abdo msup. last updated on 16/Dec/18

find the value of lim_(n→+∞) Σ_(i=1) ^n  Σ_(j=1) ^n  (((−1)^(i+j) )/(i+j))

$${find}\:{the}\:{value}\:{of}\:{lim}_{{n}\rightarrow+\infty} \sum_{{i}=\mathrm{1}} ^{{n}} \:\sum_{{j}=\mathrm{1}} ^{{n}} \:\frac{\left(−\mathrm{1}\right)^{{i}+{j}} }{{i}+{j}} \\ $$

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