1 / 6

Understanding Limits in Calculus: Key Concepts and Techniques

This chapter discusses the fundamental concept of limits in calculus, crucial for understanding function behavior as inputs approach specific values. It covers limit definitions, rules for evaluating limits, and strategies for solving limits, including identifying holes and horizontal asymptotes. We explore the limits of rational functions, addressing degrees of polynomials and their implications for limits approaching infinity. Additionally, one-sided limits are examined to determine behavior from the left or right of a specific point.

wilona
Télécharger la présentation

Understanding Limits in Calculus: Key Concepts and Techniques

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 2 Review Limits Mainly Chelsea….. Semi Eric…slacker….

  2. -Definition: the value of a function as x approaches a desired value (a y-value) -A limit of a sum is the sum of the limits Solving Limits: 1. Look for holes 2. Look for Horizontal Asymptotes 3. Factor when necessary

  3. Ex. 1 Ex. 2

  4. Limit Rules of Rational Functions in regard to Infinity 1. If a degree is the same look at the coefficient 2. If a degree is bigger on top than bottom – the limit does not exist 3. If a degree is bigger on the bottom than top – the limit is zero 3/7 DNE 0

  5. EXAMPLES

  6. One Sided Limits • “+” is from the right • “-” is from the left • If coming from right, plug in number slightly bigger • If coming from left, plug in number slightly smaller • If there’s an asymptote all your concerned with is positive or negative

More Related