Working directly from the definition (without using the Cauchy Com- pleteness Theorem), show that if sn is a real Cauchy sequence, then also 3sn is Cauchy.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.3: Geometric Sequences
Problem 3SE: What is the procedure for determining whether a sequence is geometric?
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Working directly from the definition (without using the Cauchy Com-
pleteness Theorem), show that if sn is a real Cauchy sequence, then also 3sn is
Cauchy.
Transcribed Image Text:Working directly from the definition (without using the Cauchy Com- pleteness Theorem), show that if sn is a real Cauchy sequence, then also 3sn is Cauchy.
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