Types of discontinuities
- File type
- Microsoft PowerPoint
- Use
- Digital activity
- Subject
- Maths
- Topic
- Calculus, Precalculus
- Resource types
- Lesson Plans
- Use
- Digital activity
From the author
About this resource
PowerPoint presentation, 10 slides explaining how to describe three kinds of discontinuities: Removable discontinuities, Infinite discontinuities and jump discontinuities
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In the classroom
Teaching tips & learning objectives
Learning objectives
Classify a discontinuity as removable, jump or infinite using f(a) and one-sided limits
Determine the intervals on which a rational function is continuous
Teaching tips
Each example shows its full solution, so you could pause before the solution step and have students predict the classification first.
Skills covered
Evaluating one-sided limits — worked examples compare left and right limits at a point to decide the type of break
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Resource details
Concepts & topics
Core concepts
Core concepts
Removable discontinuity
Jump discontinuity
Infinite discontinuity
Topics
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