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问题

Questions in category: 极限 (Limit).

求极限 $lim_{n \to \infty} \frac{1}{n} \sum_{k = 1}^{n} \sin \sqrt{k / n}$ .

Posted by haifeng on 2014-09-21 15:57:56 last update 2014-12-28 22:06:22 | Answers (2) | 收藏

求极限

$lim_{n \to \infty} \frac{1}{n} \sum_{k = 1}^{n} \sin \sqrt{\frac{k}{n}} .$

$lim_{n \to \infty} (\frac{\sin \frac{π}{n}}{n + 1} + \frac{\sin \frac{2 π}{n}}{n + \frac{1}{2}} + \dots + \frac{\sin π}{n + \frac{1}{n}}) .$