Question

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

• A. $1+\sqrt{5}$
• B. $-1+\sqrt{5}$
• C. $-1+\sqrt{2}$
• D. $1+\sqrt{2}$

Answer 1

Answer: (B)

Correct answer is (b) $-1+\sqrt{5}$