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.

Concepts

limits, proofs

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Additional Tags

math

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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