Brilio.net – Algebra is a branch of mathematics that studies mathematical symbols and rules to express mathematical patterns, relationships and structures in an abstract and general manner. Algebra can also be used to solve equations and problems involving unknown or changing variables.

Referring to Al-Khwarizmi’s opinion, algebra is a science that teaches how to calculate using letters that represent unknown numbers or are allowed to take many values. Meanwhile, according to Herstein, algebra is a science that studies the general properties of mathematical objects such as numbers, vectors, matrices, polynomials, functions, groups, rings, fields, and so on. From this opinion it can be understood that algebra is a concept for solving equations and problems involving unknown or infinite variables.

So, algebraic function limits are a branch of algebra that studies limit values using concepts in the function approach. To calculate the limit of an algebraic function you need to understand its concept and properties. The following is a complete explanation of the limit formula for algebraic functions, complete with its meaning, properties, example questions and how to work it. Brilio.net gathered from various sources on Tuesday (19/9).

## Understanding limits of algebraic functions.

photo: freepik.com

The limit of an algebraic function is a mathematical concept relating to the value a function approaches if its variable approaches a certain value. Limits of algebraic functions can be used to express the behavior and properties of functions consisting of algebraic operations, such as addition, subtraction, multiplication, division and exponentiation.

In simple terms, a limit is a limit that uses a function approach, a limit that is very close but cannot be achieved. For example, if we have the function f(x) = x + 1, then we can say that the limit of f(x) as x approaches 2 is 3, because the value of f(x) gets closer to 3 as x gets closer to 2. However , we cannot say that f(2) = 3, because f(2) is a definite value that the function can reach. Therefore, it requires a solution using the formula or concept of algebraic function limits.

The way to work out the limit of an algebraic function is to approach the finite value of x by factoring, substituting and multiplying together. If x in the limit of an algebraic function approaches infinity, then the solution is divided by the highest power variable, then multiplied by its common root. It should be emphasized that the result of calculating the limit of an algebraic function is not allowed to be 0/0 because that value cannot be defined.

To make it easier to solve problems about limits of algebraic functions. The following algebraic function limit formula can be written in symbolic form:

Lim x →a f(x)= L

Information:

The value of f(x) approaches L as x approaches a.

The value of a can be a real number or infinite.

The value of L can be a real number, infinite, or non-existent.

(brl/wen)

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