Here's a handy dandy flow chart to help you calculate limits. Key point #1: Direct substitution is the go-to method. Use other methods only when this fails, otherwise you're probably doing more work than you …

Jul 23, 2025 · These examples demonstrate various techniques for finding limits, including direct substitution, factoring, rationalization, L'Hôpital's Rule, and handling limits at infinity.

Feb 1, 2024 · Master the art of finding limits in calculus with a step-by-step guide, unraveling the intricacies of approaching values as variables near specific points in a function.

We want to give the answer "2" but can't, so instead mathematicians say exactly what is going on by using the special word "limit". The limit of (x 2 −1) (x−1) as x approaches 1 is 2. And it is written in …

Jan 16, 2025 · Computing Limits – In this section we will looks at several types of limits that require some work before we can use the limit properties to compute them. We will also look at computing …

Dec 7, 2025 · 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, …

Scroll down the page for examples and solutions. We have also included a limits calculator at the end of this lesson. This math tool will show you the steps to find the limits of a given function. Definition Of …

We will now investigate how to find limits and various methods we can use to compute them.

Calculating limits requires a combination of techniques, analytical thinking, and sometimes a touch of intuition. While some limits can be determined quickly, others might require more in-depth exploration.

We can estimate limits by constructing tables of functional values and by looking at their graphs. This process is described in the following Problem-Solving Strategy.