Mathematically, it is a mathematical symbol representing equivalence relation. Equivalent infinitesimal replacement is a common method to calculate indefinite limit, which can simplify complex problems and simplify complex ones. When finding the limit, use the condition of equivalent infinitesimal.

Equivalent infinitesimal can only be replaced by multiplication and division, and sometimes it will be wrong to replace it in addition and subtraction (it can be replaced as a whole in addition and subtraction, but it may not be replaced separately, and it may not be replaced separately at will).

Limit method is the basic method to study functions in mathematical analysis. All the basic concepts of analysis (continuous, differential, integral and series) are based on the concept of limit, and then all the theories, calculations and applications of analysis can be realized. Therefore, it is very necessary to define the concept of limit accurately, which is a fundamental problem related to the reliability of theory and calculation analysis.

Extended data:

Equivalence relation in set

1. If the relation R is reflexive, symmetric and transitive in the set A, it is said that R is an equivalent relation on A. Is the relation R a Cartesian product? A subset of a× a.

2. The two elements X and Y in A have a relationship R. If (X, y) ∈ R, we often abbreviate it as xRy.

3. reflexive: if any x belongs to a, then x has something to do with itself, that is, xRx；;

4. Symmetry: Any X and Y belong to A. If X and Y have a relationship R, that is, xRy, then Y and X also have a relationship R, that is, yRx；;

5. Transitivity: Any X, Y and Z belong to A. If xRy and yRz have an equivalence relation R, they are called X and Y equivalence, sometimes called equivalence.

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