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Can you prove a negative? In watching the video, individuals learn how to prove that the limit of a function does not exist at a point. The video covers the quintessential example of the limit of f(x) = abs(x)/x as x approaches 0.
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Instructional Ideas
- Have the class graph the function in the example to visually confirm that the limit does not exist
Classroom Considerations
- Learners must have experience with step functions
- Pupils should already understand the existence of limits in terms of the one-sided limits
- This video is hosted on YouTube
Pros
- Shows work in an orderly fashion
- Thoroughly explains each step before moving on to the next one
Cons
- Slight inaccuracies