?Let (a,) be a sequence of real numbers. Which of the following statements about (a,) is true none of the listed statements is true .a O if (a,) is convergent then the sequence is Cauchy an 1 .b O .If a, e (-4, 7) for all n > 23 then (a,) has a Cauchy subsequends .if (a,) has a Cauchy subsequence, then (a,) is itself Cauchy
?Let (a,) be a sequence of real numbers. Which of the following statements about (a,) is true none of the listed statements is true .a O if (a,) is convergent then the sequence is Cauchy an 1 .b O .If a, e (-4, 7) for all n > 23 then (a,) has a Cauchy subsequends .if (a,) has a Cauchy subsequence, then (a,) is itself Cauchy
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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Transcribed Image Text:?Let (a,) be a sequence of real numbers. Which of the following statements about (a,) is true
none of the listed statements is true
.a O
1
is Cauchy
a,
if (a,) is convergent then the sequence
.b O
|
If a, e (-4, 7) for all n > 23 then (a,) has a Cauchy subsequenes c O
.if (a,) has a Cauchy subsequence, then (a,) is itself Cauchy .d O
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