Decimal numbers Any real number in the interval [0, 1]can be represented by a decimal (not necessarily unique) as di d2 dz d4 0.dıdzdzd4 . .. 10 102 103 104 where d; is one of the integers 0, 1, 2, 3, ..., 9. Prove that the series on the right-hand side always converges.
Decimal numbers Any real number in the interval [0, 1]can be represented by a decimal (not necessarily unique) as di d2 dz d4 0.dıdzdzd4 . .. 10 102 103 104 where d; is one of the integers 0, 1, 2, 3, ..., 9. Prove that the series on the right-hand side always converges.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Decimal numbers Any real number in the interval [0, 1]can be
represented by a decimal (not necessarily unique) as
di
d2
dz
d4
0.dıdzdzd4 . ..
10
102
103
104
where d; is one of the integers 0, 1, 2, 3, ..., 9. Prove that the
series on the right-hand side always converges.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57c651b3-929b-43a5-b026-b96693e39729%2Fea927542-31a0-451f-a40e-4a4d3872c181%2F2gm0vlp.png&w=3840&q=75)
Transcribed Image Text:Decimal numbers Any real number in the interval [0, 1]can be
represented by a decimal (not necessarily unique) as
di
d2
dz
d4
0.dıdzdzd4 . ..
10
102
103
104
where d; is one of the integers 0, 1, 2, 3, ..., 9. Prove that the
series on the right-hand side always converges.
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