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
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Chapter2: Second-order Linear Odes
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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.
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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