Continuity Theorems

Composite function limits and the Intermediate Value Theorem in a nine-slide PowerPoint, with two worked examples of evaluating a limit using the composite function theorem.
Year levels
Year 12
File type
Microsoft PowerPoint
Use
Digital activity

Updated Dec 26, 2022

Subject
Maths
Topic
Calculus, Intermediate Value Theorem
Resource types
Lesson Plans
Use
Digital activity

From the author

About this resource

PowerPoint presentation, 9 slides stating the theorem for limits of composite functions and providing an example of the intermediate value theorem.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Evaluate limits of composite functions using the composite function theorem

  • Explain what the Intermediate Value Theorem guarantees for a continuous function

Skills covered

  • Evaluating limits — following worked examples that apply the composite function theorem

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Resource details

Concepts & topics

Core concepts

  • Composite functions

  • Limits

  • Intermediate Value Theorem

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