Limn-r-1nr-n2-n equals

The correct option is C 12 nbsp;lim_n→∞∑_r=1^nr/n^2+n=lim_n→∞∑_r=1^nr/n^2+n =lim_n→∞1/2n(n+1)/n^2+n=1/2 ...

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Sum of Binomial Coefficients with Alternate Signs

limn→∞∑r=1nr/...

Question

$lim n \to \infty n \sum r = 1 \frac{r}{n^{2} + n}$ equals

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\frac{1}{3}

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\frac{1}{2}

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