Some equivalents using negations:

For any there is a such that for any , if , then .

- Write this formally using for and for .
- Use the rules for negation above to write the formal expression for ``It is not the case that '' with the negations as far in as possible.
- State (in English) what it means to say that a function does not have a limit at , again moving the negations in as far as possible.

Total for section: 37.

Larry Stout 2001-08-17