MA.912.C.1.3

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Find limits of rational functions that are undefined at a point.

Examples

The magnitude of the force between two positive charges, begin mathsize 14px style q subscript 1 end style and begin mathsize 14px style q subscript 2 end style, can be described by the following function: begin mathsize 12px style F left parenthesis r right parenthesis space equals space k fraction numerator q subscript 1 q subscript 2 over denominator r squared end fraction end style, where k is Coulomb’s constant and r is the distance between the two charges. Find the limit as r approaches 0 of the function F(r). interpret the answer in terms of the context.
General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 912
Strand: Calculus
Standard: Develop an understanding for limits and continuity. Determine limits and continuity.
Date Adopted or Revised: 08/20
Status: State Board Approved

Related Courses

This benchmark is part of these courses.
1202300: Calculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Lesson Plan

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.

Type: Lesson Plan

Tutorial

Redefining a Function by Finding a Limit to Make the Function Continuous:

In this video students are introduced to an algebraic technique for rewriting a rational function in order to find a limit of the function.

Type: Tutorial

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Tutorial

Redefining a Function by Finding a Limit to Make the Function Continuous:

In this video students are introduced to an algebraic technique for rewriting a rational function in order to find a limit of the function.

Type: Tutorial

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.