**Homework assignment 5 **

In Section 1.3 study the binomial formula

Read through 42) and keep reading to stay up with the class.

**Do** #1 , #9 , #18 pp.32-35 and

**Problem 5.1:** A real number
of the form m / 2^n, where m is an integer and n is a natural number, is called
a dyadic rational.

(a) Adapt the above procedure to show the so-called diadic rationals are dense in the reals. Problem 27 on p. 22 is similar.

(b) Do problem 4.1 (the homework #4 problem) for the dyadic rationals.

Note that #9 says that the
Archimedean Property is ** equivalent to** the fact that lim 1/n
= 0.

Thus you must show two things, that each implies the other.