Quantitative change will inevitably lead to qualitative change, and I personally agree with this view. Mathematics originated from the early production activities of human beings, and it is a science that studies concepts such as quantity, structure, change and spatial model. Through the application of abstraction and logical reasoning, the shape and motion of objects are counted, calculated, measured and observed. Mathematics has two branches, one is pure mathematics and the other is applied mathematics. Pure mathematics, also called basic mathematics, specializes in the internal laws of mathematics itself. The knowledge of algebra, geometry, calculus and probability introduced in primary and secondary school textbooks belongs to pure mathematics. A remarkable feature of pure mathematics is to temporarily put aside the specific content and study the quantitative relationship and spatial form of things in pure form. For example, it doesn't matter whether it is the area of trapezoidal rice fields or the area of trapezoidal mechanical parts. What everyone cares about is the quantitative relationship contained in this geometry. Applied mathematics is a huge system. Some people say that it is the part of all our knowledge that can be expressed in mathematical language. Applied mathematics focuses on explaining natural phenomena and solving practical problems, and is a bridge between pure mathematics and science and technology. What the asymptotic line in mathematics represents is unknown, and we cannot just think that "quantitative change will inevitably lead to qualitative change" is incorrect. Note: Mathematics related knowledge is quoted from Baidu Encyclopedia/view/view1284.htm.