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Competitive Stats
Q41Section C (Section C)41 of 60

Riemann-sum limit with square roots

lim⁡n→∞n+1+n+2+⋯+n+nnn\lim_{n\to\infty}\dfrac{\sqrt{n+1}+\sqrt{n+2}+\cdots+\sqrt{n+n}}{n\sqrt n} (round off to 2 decimal places) equals __________

Numerical answer: type the number (no options).

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