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find-lim-n-i-1-n-j-1-n-1-i-j-i-j-




Question Number 36933 by maxmathsup by imad last updated on 07/Jun/18
find lim_(n→+∞)  Σ_(i=1) ^n  Σ_(j=1) ^n   (((−1)^(i+j) )/(i+j)) .
$${find}\:{lim}_{{n}\rightarrow+\infty} \:\sum_{{i}=\mathrm{1}} ^{{n}} \:\sum_{{j}=\mathrm{1}} ^{{n}} \:\:\frac{\left(−\mathrm{1}\right)^{{i}+{j}} }{{i}+{j}}\:. \\ $$

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