## Description

- Overview:
- After completing this section, students should be able to do the following.Recognize when a limit is indicating there is a vertical asymptote.Evaluate the limit as xx approaches a point where there is a vertical asymptote.Match graphs of functions with their equations based on vertical asymptotes.Discuss what it means for a limit to equal ∞∞.Define a vertical asymptote.Find horizontal asymptotes using limits.Produce a function with given asymptotic behavior.Recognize that a curve can cross a horizontal asymptote.Understand the relationship between limits and vertical asymptotes.Calculate the limit as xx approaches ±∞±∞ of common functions algebraically.Find the limit as xx approaches ±∞±∞ from a graph.Define a horizontal asymptote.Compute limits at infinity of famous functions.Find vertical asymptotes of famous functions.Identify horizontal asymptotes by looking at a graph.Identify vertical asymptotes by looking at a graph.

- Subject:
- Calculus
- Level:
- College / Upper Division
- Material Type:
- Module
- Author:
- Jim Fowler
- Provider:
- Ohio Open Ed Collaborative
- Date Added:
- 06/28/2019

- License:
- Creative Commons Attribution Non-Commercial
- Language:
- English
- Media Format:
- eBook, Interactive

## Standards

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