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I: | a, - al <ɛ V n z n(ɛ), for any given e > 0. II: | an - aml< e V m, n 2 N, for some NER. III: | a, - aml→ 0 as m, n → o. A. I and II only B. I and III only C. II only D. III only E. None of the above.

I: | a, - al <ɛ V n z n(ɛ), for any given e > 0. II: | an - aml< e V m, n 2 N, for some NER. III: | a, - aml→ 0 as m, n → o. A. I and II only B. I and III only C. II only D. III only E. None of the above.

Advanced Engineering Mathematics
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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Which of these statements best describe(s) a, as a Cauchy sequence? I: | an - al < ɛ V n 2 n(ɛ), for any given ɛ > 0. II: | an - am|< ɛ vm,n 2 N, for some NER. III: | a, - aml→ 0 as m,n → o. A. I and II only B. I and III only C. II only D. II only E. None of the above.
Transcribed Image Text:Which of these statements best describe(s) a, as a Cauchy sequence? I: | an - al < ɛ V n 2 n(ɛ), for any given ɛ > 0. II: | an - am|< ɛ vm,n 2 N, for some NER. III: | a, - aml→ 0 as m,n → o. A. I and II only B. I and III only C. II only D. II only E. None of the above.
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