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# How to Prove that the Limit Does Not Exist

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

##### Pros

- Shows work in an orderly fashion
- Thoroughly explains each step before moving on to the next one

##### Cons

- Slight inaccuracies

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