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lim-n-i-1-n-j-i-i-i-i-j-n-2-i-2-n-2-j-2-




Question Number 212646 by MrGaster last updated on 20/Oct/24
  lim_(n→∞) Σ_(i=1) ^n Σ_(j=i) ^i ((i(i+j))/((n^2 +i^2 )(n^2 +j^2 )))
$$ \\ $$$$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\underset{{i}=\mathrm{1}} {\overset{{n}} {\sum}}\underset{{j}={i}} {\overset{{i}} {\sum}}\frac{{i}\left({i}+{j}\right)}{\left({n}^{\mathrm{2}} +{i}^{\mathrm{2}} \right)\left({n}^{\mathrm{2}} +{j}^{\mathrm{2}} \right)} \\ $$
Commented by mr W last updated on 21/Oct/24
Σ_(j=1) ^i .....
$$\underset{{j}=\mathrm{1}} {\overset{{i}} {\sum}}….. \\ $$

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