MthT 430 Projects Chapter 4b Binary Expansions and Examples of Functions
MthT 430 Projects Chapter 4b Binary Expansions and Examples of Functions
Examples of Functions
For 0 ≤ x < 1, let
⎧
⎪
⎨
⎪
⎩
x
=
0
.
bin
b
1
b
2
…
,
b
k
∈ {
0
,
1
}
,
with the binary expansion constructed above (in chap4b.tex).
Define the function
F
1
(x) = b
1
.
1.
Explain why F
1
is a function and describe domain(F
1
).
2.
Graph F
1
.
Define the function
F
2
(x) = b
2
.
1.
What is domain(F
2
)?
2.
Graph F
2
.
Define the function
F
N
(x) = b
N
.
1.
What is domain(F
N
)?
2.
Graph F
N
.
3.
Discuss
lim
N → ∞
F
N
(x).
File translated from T
E
X by
T
T
H
, version 4.04.
On 22 Aug 2014, 13:55.