(9) Show that the set E of indefinite sequences from {0 1 33 0,13 13. countable Hint: Lot fiNg E. Rhon is a sequants (amn - Let MI I not fm = 13 a bm=1-ame Rhon (bn) is a Sequence in and for cach K, (bn) & cakn) =f(K), "Canter's diagonal process". E This is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 59RE
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13
9). show that the gut. E of
indefinite sequences from { 0,13 3
not countable & Hint: Lot fiNy E. Than
fm = is a
18
sequence camn/n=1
E
This is
bm=1-ame Run (bn) is a
and for each I, (bn) &
k
1) Let
8
I
Sequency in
can) = f(c),
"Cantor's diagonal process".
Transcribed Image Text:13 9). show that the gut. E of indefinite sequences from { 0,13 3 not countable & Hint: Lot fiNy E. Than fm = is a 18 sequence camn/n=1 E This is bm=1-ame Run (bn) is a and for each I, (bn) & k 1) Let 8 I Sequency in can) = f(c), "Cantor's diagonal process".
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