中文摘要：

提出了一种求lim∫0 n/2 sinn n→∞更简单的方法,该方法不需要Lebesgue积分的性质,也不需要定义,仅需简单的数列的极限存在的夹逼准则,并给出了例子。

英文摘要：

A simpler way to find lim∫0 n/2 sinn n→∞ is proposed in this paper,this method does not require the nature of the Lebesgue integration,also does not need definition,only need a simple series limit of the Squeeze guidelines,and gives examples.