Standard #: MAFS.912.C.1.6 (Archived Standard)


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Find limits at infinity.


Remarks


Example 1: Find

Example 2: Find

Example 3: Find 

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

Lesson Plan

Name Description
Leap Frog Review Game

In this lesson students will demonstrate their knowledge of limits, graphing, and exact trig limits evaluated using substitution. The students will play a game in which they evaluate their knowledge of problems in the unit while it serves as a formative assessment for the teacher. The students receive immediate feedback on their work while the teacher works the problems, correcting errors or misconceptions. This lesson gives the student a power review of the concepts in the unit because the timing is determined by the teacher. All students are engaged and focused while playing this game. Giving students access to the PowerPoint of the game after the lesson provides a good study tool for the students.

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
Limits at Positive and Negative Infinity

In this video we will find the limit of a function as it approaches positive infinity and negative infinity.

More Limits at Infinity

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

Limits at Infinity Using Algebra

Here we will use algebra to find the limit of a function with radicals as it approaches 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
Limits at Positive and Negative Infinity:

In this video we will find the limit of a function as it approaches positive infinity and negative infinity.

More Limits at Infinity:

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

Limits at Infinity Using Algebra:

Here we will use algebra to find the limit of a function with radicals as it approaches 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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