Limits of algebraic functions

Algebraic functions are those that can be expressed through a finite combination of simple algebraic operations, such as addition, subtraction, multiplication, division, and roots of integer indices. This group includes, among others, polynomial, rational, and irrational (or radical) functions.

Their importance lies in their ability to represent a wide range of mathematical and physical phenomena. Studying the limits of algebraic functions is essential to understand how these functions behave near certain critical points and how they relate to other types of functions.

Below, you can find the study of limits for each important algebraic function, both at specific points and as x approaches positive and negative infinity.

Limits of Polynomial Functions

Limits of constant functions

Limits of Identity Function

Limits of linear functions

Limits of quadratic functions

Limits of radical functions and indeterminate forms