Standard #: MA.912.C.1.1


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Demonstrate understanding of the concept of a limit and estimate limits from graphs and tables of values.


Examples


Example: For begin mathsize 12px style f left parenthesis x right parenthesis space equals space fraction numerator x squared plus 2 x minus 8 over denominator x minus 2 end fraction end style, estimate begin mathsize 12px style limit as x rightwards arrow 2 of left parenthesis fraction numerator x squared plus 2 x minus 8 over denominator x minus 2 end fraction right parenthesis end style by calculating the function’s values for x=2.1, 2.01, 2.001 and for x=1.9, 1.99, 1.999. Explain your answer.

Related Courses

Course Number1111 Course Title222
1202300: Calculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 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
Limit and Function Defined at Point of Discontinuity

In this video we will determine if a limit exists at a point of discontinuity.

Introduction to limits

This video will provide an introduction to the intuition behind limits through graphing.

Two-sided limit from a graph

Determine the limit of a function from the left and from the right of an x-value from graph.

Student Resources

Tutorials

Name Description
Limit and Function Defined at Point of Discontinuity:

In this video we will determine if a limit exists at a point of discontinuity.

Introduction to limits:

This video will provide an introduction to the intuition behind limits through graphing.

Two-sided limit from a graph:

Determine the limit of a function from the left and from the right of an x-value from graph.



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