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limn→∞∑i=1nin(in−i−1n)=ab\large\lim_{n\to\infty} \sum_{i=1}^n \frac{i}{n} \left(\sqrt{\frac{i}{n}}-\sqrt{\frac{i-1}{n}}\right)=\frac{a}{b}n→∞limi=1∑nni⎝⎛ni−ni−1⎠⎞=ba
If the above equation is true for coprime positive integers aaa and bbb, find a+ba+ba+b.
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