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Riemann Sum – Exercise 2322

Exercise

Evaluate the limit

\lim_{n \rightarrow \infty}\sum_{k=1}^n {(\frac{n+k}{n\sqrt{n}})}^2

Final Answer


\lim_{n \rightarrow \infty}\sum_{k=1}^n {(\frac{n+k}{n\sqrt{n}})}^2=\frac{7}{3}

Solution

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