摘要
微积分学中重要极限limx→0sinxx的大多数传统证明方法用到尚未严格证明过的圆周长或圆面积公式。论文通过新的途径对此进行了再证明,与传统证明方法以及近来的某些其它方法都是不同的,避免了循环论证之嫌,对完善微积分经典理论是有益的。
It is pointed out that the most regular proving methods of the important limit of (lim)x→0sinx x in calculus use the formula of circumference of a circle or area of a circle,which isn't still trictly proved.This paper presents a new proof of the important limit,which is different from previous methods and avoids the cyclic demonstration.The new proof is helpful to foundation of calculus.
出处
《南京邮电学院学报（自然科学版）》
2004年第4期43-45,共3页
Journal of Nanjing University of Posts and Telecommunications
关键词
重要极限
微分学
证明
Important limit
Calculus
Demonstration
