极限思想在数学中占有举足轻重的地位,早在公元3世纪,我国杰出数学家刘徽在创立“割圆术”的过程中,就丰富和发展了极限思想,奠基并使用了极限方法,“割之弥细,所失弥少,割之又割,以至于不可割,则与圆合体而无所失矣”,就是他对极限思想和方法的精辟论述.事实上,利用极限思想使 The limit thought occupies the pivotal position in mathematics. As early as the 3rd century AD, Liu Hui, a distinguished mathematician in our country, enriched and developed the limit thinking in the process of establishing the “circumcision”, laid the foundation stone and used the limit method, The thinning, the loss of less, the cut and the cut, so that it can not be cut, and the circle fit without any loss, "is his incisive discourse on the limits of thought and method .In fact, the use of limit thinking