Riemann Sum – Exercise 2311

Exercise

Evaluate the limit

limnk=1n(12n+8kn2)\lim_{n \rightarrow \infty}\sum_{k=1}^n (\frac{12}{n}+\frac{8k}{n^2})

Final Answer


limnk=1n(12n+8kn2)=16\lim_{n \rightarrow \infty}\sum_{k=1}^n (\frac{12}{n}+\frac{8k}{n^2})=16

Solution

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