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Q)

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

$(a)\;1+\sqrt 5\qquad(b)\;-1+\sqrt 5\qquad(c)\;-1+\sqrt 2\qquad(d)\;1+\sqrt 2$

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