6. Directly use the definition of the Cauchy sequence to show that: (i) an = 1/n is a Cauchy sequence; (ii) bn = : (−1)n is not a Cauchy sequence.
6. Directly use the definition of the Cauchy sequence to show that: (i) an = 1/n is a Cauchy sequence; (ii) bn = : (−1)n is not a Cauchy sequence.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 64E
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![6. Directly use the definition of the Cauchy sequence to show that:
(i) an = 1/n is a Cauchy sequence;
(ii) bn = (-1)" is not a Cauchy sequence.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d5e88e6-b1af-4aea-9b08-2dadd85f5e2c%2F67c81faf-48b1-4376-aece-f1b58a2e810b%2Fqc8ssy8_processed.png&w=3840&q=75)
Transcribed Image Text:6. Directly use the definition of the Cauchy sequence to show that:
(i) an = 1/n is a Cauchy sequence;
(ii) bn = (-1)" is not a Cauchy sequence.
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