The limit operation rule of conforming function means that under certain conditions, for the limit operation of two or more functions, the limit of each function is calculated separately, and then the final result can be obtained. These rules can simplify the limit calculation of complex functions and are widely used in mathematical analysis and calculus.

The following are some commonly used algorithms that meet the function limit:

1, Law of Constants: If c is a constant and f(x) is a function, then lim (x → a) [c * f (x)] = c * lim (x → a) [f (x)]. This law shows that constants can be extracted outside the limit operation when calculating the limit.

2. sum and difference rule: if lim(x→a) [f(x)] and lim(x→a) [g(x)] both exist, then lim (x → a) [f (x) g (x)] = lim (x → a) [f (x)]. This law shows that when finding the limit of the sum or difference of two functions, you can find the limit of each function separately and then perform the operation.

3. multiplication rule: if lim(x→a) [f(x)] and lim(x→a) [g(x)] both exist, then lim (x→ a) [f (x) * g (x)] = lim (x→ a) [f (x)] *

4. Law of Quotient: If lim(x→a) [f(x)] and lim(x→a) [g(x)] both exist and lim(x→a) [g(x)] ≠ 0, then lim (x→ a) [f (x)/g (. This law shows that when finding the limit of quotient of two functions, we can find the limit of each function separately and then divide it by the limit of the function whose limit is not zero.

Matters needing attention

It should be noted that these limit algorithms that conform to the function need to meet certain conditions in application, such as the function is defined near the limit point, and the limit point is the convergence point of the function. In addition, sometimes additional conditions or other limit algorithms are needed to deal with complex situations.

In a word, the limit algorithm of coordination function is a set of rules that help simplify the limit calculation of complex functions. Find the limit of each function separately, and then do the operation, and you can get the final result. These rules are widely used in mathematical analysis and calculus, and can improve the calculation efficiency when solving the limit.