Limits describe how a function behaves near a point, instead of at that point. This simple yet powerful idea is the basis of all of calculus.

Limits can be used even when we know the value when we get there! Nobody said they are only for difficult functions. We know perfectly well that 10/2 = 5, but limits can still be used (if we want!) …

Jan 16, 2025 · In this chapter we introduce the concept of limits. We will discuss the interpretation/meaning of a limit, how to evaluate limits, the definition and evaluation of one-sided …

Jan 20, 2026 · This page covers the fundamental concepts of limits in calculus, essential for analyzing function behavior. It explains how to estimate limits using numerical and graphical methods, …

Limits in maths are defined as the values that a function approaches the output for the given input values. Limits play a vital role in calculus and mathematical analysis and are used to define integrals, …

Oct 8, 2025 · The limit of a function, one-sided limits, and limits at infinity help us describe how quantities behave near specific points. In this article, we’ll explore the definition of limits, their types, …

For many applications, it is easier to use the definition to prove some basic properties of limits and to use those properties to answer straightforward questions involving limits.

There are a number of different methods used to find the limit of a function, including substitution, factoring, rationalization, the squeeze theorem, and more. Substitution is a method that involves …

Limits are fundamental concepts in calculus that help us understand the behavior of functions as they approach a specific value. When we talk about limits, we are interested in what a function is doing …

In the previous section, we evaluated limits by looking at graphs or by constructing a table of values. In this section, we establish laws for calculating limits and learn how to apply these laws.