Standard #: MAFS.912.C.1.7 (Archived Standard)


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Decide when a limit is infinite and use limits involving infinity to describe asymptotic behavior.


Remarks


Example 1: Find 

Example 2: Where does the following function have asymptote(s)? Explain your answer.


General Information

Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Calculus
Cluster: Limits and Continuity - Develop an understanding of the concept of limit by estimating limits graphically and numerically and evaluating limits analytically. Extend the idea of a limit to one-sided limits and limits at infinity. Use limits to define and understand the concept of continuity, decide whether a function is continuous at a point, and find types of discontinuities. Understand and apply continuity theorems.
Date Adopted or Revised: 02/14
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived

Related Courses

Course Number1111 Course Title222
1202300: Calculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current))


Related Resources

Perspectives Video: Professional/Enthusiast

Name Description
Asymptotic Behavior in Shark Growth Research

Fishery Scientist from Florida State University discusses his new research in deep sea sharks and the unusual behavior that is found when the data is graphed.

Download the CPALMS Perspectives video student note taking guide.

Text Resource

Name Description
No Limits For Usain

This informational text resource is intended to support reading in the content area. The text uses the story of Usain Bolt and his quest to reduce his world record in the 100 meter race to raise the question of whether there is a limit to his—or any human's—athleticism. The article uses number series, limits, and convergent and divergent series to prove that, hypothetically at least, a world record will go on reducing beyond any limit. A logistic curve is shown to model the data.

Tutorials

Name Description
More Limits at Infinity

Here we will explore three more functions, and find their limits as they approach infinity.

Limits with Two Horizontal Asymptotes

Here we will find the limit of a function as it approaches positive and negative infinity and results in two horizontal asymptotes.

Limits and Infinity

We will look at examples of limits at infinity.

Student Resources

Tutorials

Name Description
More Limits at Infinity:

Here we will explore three more functions, and find their limits as they approach infinity.

Limits with Two Horizontal Asymptotes:

Here we will find the limit of a function as it approaches positive and negative infinity and results in two horizontal asymptotes.

Limits and Infinity:

We will look at examples of limits at infinity.



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