The thought of limit is the basic theory in mathematical calculus, the basis of the origin of the concept of calculus, and the important embodiment that calculus is different from other teaching. Limit thought needs to run through calculus teaching, and most academic concepts are based on limit thought. For example, in the process of learning a function, the definition of a certain point, if the independent variable is close to zero growth, the growth of the function value is also close to zero.
The thought of limit expands the research field of analysis to a certain extent and promotes the development and perfection of calculus. For example, in the process of research, generalized integral is developed into generalized integral. The establishment of limit thought promotes the further development of mathematical calculus, paves the way for the study of huge branch systems, and thus makes the analysis method truly analytical.