Pg 18 - Riemann Sum
Pg 18 - Riemann Sum
7 marks
By considering the graph of \(y=\sqrt{x}\) for \(0\le x\le 1\) , prove that \(\mathop{\lim}\limits_{n\to \infty }\,\frac{\sum\limits_{k=1}^{n}{\sqrt{k}}}{n\sqrt{n}}=\frac{2}{3}\).[7]
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Answer:\(\frac{2}{3}\)
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