# 1617-257/Homework Assignment 6

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## Doing

Solve problems 1, 3, 5, 6 in section 9 and problems 1, 3, 4 in section 10, but submit only the underlined problems/parts. In addition, solve the following problems, though submit only your solutions of problem A:

Problem A. Find an example of a bounded continuous function on the semi-open interval $(0,1]$ which is not uniformly continuous.

Problem B. Prove that every unbounded continuous function on the semi-open interval $(0,1]$ is not uniformly continuous.

## Submission

Here and everywhere, neatness counts!! You may be brilliant and you may mean just the right things, but if the teaching assistants will be having hard time deciphering your work they will give up and assume it is wrong.

This assignment is due in class on Wednesday November 9 by 2:10PM.

### Important

Please write on your assignment the day of the tutorial when you'd like to pick it up once it is marked (Wednesday or Thursday).