4. Previously, we saw that the Cantor set K is the set of all numbers in [0, 1] which have ternary expansion without the digit 1. For x = defined as f :K → [0, 1] such that f(x) words, if x = 0.b1 b2b3 · :0.a1a2a3 · ·. (2), where a; = in K (where b; is 0 or 2), let f(x) be bi/2. In other ... = Y = ... 1/3 = 0.0222... (3), then f(x) = y = 0.0111 -... (2) = }. %3D i What is f(2/3)? what is f(2/9) and f(1/9)?
4. Previously, we saw that the Cantor set K is the set of all numbers in [0, 1] which have ternary expansion without the digit 1. For x = defined as f :K → [0, 1] such that f(x) words, if x = 0.b1 b2b3 · :0.a1a2a3 · ·. (2), where a; = in K (where b; is 0 or 2), let f(x) be bi/2. In other ... = Y = ... 1/3 = 0.0222... (3), then f(x) = y = 0.0111 -... (2) = }. %3D i What is f(2/3)? what is f(2/9) and f(1/9)?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Number 4 please
![4. Previously, we saw that the Cantor set K is the set of all numbers in [0, 1] which have ternary
expansion without the digit 1. For x =
defined as f : K
words, if x
0.b1 b2b3 · .. in K (where b; is 0 or 2), let f(x) be
(2), where a;
[0, 1] such that f(x) = y = 0.ajaza3 · ·
1/3 = 0.0222 ... (3), then f(x) = y = 0.0111.. (2)
bi/2. In other
..
1
2.
i What is f(2/3)? what is f(2/9) and f(1/9)?
and ?
19
20
ii What is the ternary expansion of
35](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed14a3ea-da26-4be7-a143-8b845df95e91%2Fa4f5ec3e-2ec8-41e6-a529-87302446e497%2Fzppqyi_processed.png&w=3840&q=75)
Transcribed Image Text:4. Previously, we saw that the Cantor set K is the set of all numbers in [0, 1] which have ternary
expansion without the digit 1. For x =
defined as f : K
words, if x
0.b1 b2b3 · .. in K (where b; is 0 or 2), let f(x) be
(2), where a;
[0, 1] such that f(x) = y = 0.ajaza3 · ·
1/3 = 0.0222 ... (3), then f(x) = y = 0.0111.. (2)
bi/2. In other
..
1
2.
i What is f(2/3)? what is f(2/9) and f(1/9)?
and ?
19
20
ii What is the ternary expansion of
35
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