1617-257/Homework Assignment 6 Solutions

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.

Student Solutions

Student 1

Student 2