# Introduction to limits

Objectives: The first part of this tutorial contains a list of theorems that can be used to evaluate many limits. The second part contains a collection of examples. Objectives: The first part of this tutorial contains a list of theorems that can be used to evaluate many limits. The second part contains a collection of examples. Limits and an Introduction to Calculus. Introduction to Limits. Techniques for Evaluating Limits. The Tangent Line Problem. Limits at Infinity.
Just look at the second graph! What is the limit as x approaches 2 of g of x. So this is my y equals f of x axis, this is my x-axis right over here. The limit of g of x as x approaches 2 is equal to 4. It's really the idea that all of calculus is based upon. In other languages Add links. They allow you to use algebraic rules , even at values when the rules are false! We can also choose numbers larger than 2, and approach 2 from above:. Navigation menu Personal tools Not logged in Discussion for this IP address Contributions Create account Log in. Sister projects Wikipedia Wikiversity Wiktionary Wikiquote Wikisource Wikinews Wikivoyage Commons Wikidata. First, the numerator is a polynomial that may be factored: Navigation menu Personal tools Not logged in Discussion for this IP address Contributions Create account Log in. If you're seeing this message, it means we're having trouble loading external resources on our website. Hi Joe, great question. The closed interval between -3 and 3 includes -3 and 3; the open interval does not. There is a way to write this mathematically, so we define new types of limits. It's not x squared when x is equal to 2. As x increases, y increases.