How to understand the concept of limit in higher numbers When we calculate the area of a trapezoid with curved edges, we divide it into n rectangles. When n →∞, we can think that the area of these n rectangles is equal to the area of the trapezoid with curved edges. However, no matter how large N is, there is always a "gap" that can not be covered by the rectangle. In this way, is the area we calculate not too small?

How to understand the concept of limit in higher numbers When we calculate the area of a trapezoid with curved edges, we divide it into n rectangles. When n →∞, we can think that the area of these n rectangles is equal to the area of the trapezoid with curved edges. However, no matter how large N is, there is always a "gap" that can not be covered by the rectangle. In this way, is the area we calculate not too small?

Limit has the meaning of infinitely close, which means that infinity tends to a certain value. For example, in ancient circle cutting, when the number of sides of an inscribed regular polygon is n →∞, the more close the inscribed regular polygon is to a circle. It is the limit that accurately expresses the area of a circle. Similarly, the more accurate the area is, rather than smaller