Give an example of the case or explain why it's not possible for each of the following:

1.) Continuous function and also a Cauchy sequence such that is not a Cauchy sequence.

2.) Continuous function and also a Cauchy sequence such that is not a Cauchy sequence.

3.) Continuous function and also a Cauchy sequence such that is not a Cauchy sequence.

4.) Continuous function that's bounded on and that has a maximum value on the open interval, however, does not have a minimum value.