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calculus online - Free exercises and solutions to help you succeed!

Riemann Sum – Exercise 2330

Exercise

Evaluate the limit

\lim_{n \rightarrow \infty}\sum_{k=1}^n\frac{4}{n}\sqrt{\frac{2(2k-1)}{n}}

Final Answer


\lim_{n \rightarrow \infty}\sum_{k=1}^n\frac{4}{n}\sqrt{\frac{2(2k-1)}{n}}=\frac{16}{3}

Solution

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