Mark all answers that are correct (there might be more than one correct answers). O Every bounded sequence {Xn} in R has a subsequence {Xn, } that converges to some point in R. The sequence X,=/n+I-n, nENis Cauchy. There is a Cauchy sequence {Xn} in R that does not converge. O The sequence X,=exp(sin(n)), nEN has a Cauchy subsequence (Xn,) O Every monotonic sequence is Cauchy.
Mark all answers that are correct (there might be more than one correct answers). O Every bounded sequence {Xn} in R has a subsequence {Xn, } that converges to some point in R. The sequence X,=/n+I-n, nENis Cauchy. There is a Cauchy sequence {Xn} in R that does not converge. O The sequence X,=exp(sin(n)), nEN has a Cauchy subsequence (Xn,) O Every monotonic sequence is 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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![Mark all answers that are correct (there might be more than one correct answers).
O Every bounded sequence {Xn} in R has a subsequence {Xn, } that converges to some point in R.
The sequence X,=/n+I-n, nENis Cauchy.
There is a Cauchy sequence {Xn} in R that does not converge.
O The sequence X,"exp(sin(n)), nEN has a Cauchy subsequence (Xn,)
O Every monotonic sequence is Cauchy.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F06b776a9-8abc-4af3-8815-7796d7c65c95%2F0e9c1136-d24a-4030-8a6a-d87ea02c88cd%2Feq664t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Mark all answers that are correct (there might be more than one correct answers).
O Every bounded sequence {Xn} in R has a subsequence {Xn, } that converges to some point in R.
The sequence X,=/n+I-n, nENis Cauchy.
There is a Cauchy sequence {Xn} in R that does not converge.
O The sequence X,"exp(sin(n)), nEN has a Cauchy subsequence (Xn,)
O Every monotonic sequence is Cauchy.
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