Let (a,) be a Cauchy sequence of nonzero real numbers. Which of the following statements about (a,) may be FALSE? Select one: an Oa. The sequence e is Cauchy b. inf(S)= sup(S) where S is the set of subsequential limits of (a,) Oc. Every subsequence of the sequence (a,) is a convergent sequence Od. The sequence (In a,+1) is Cauchy

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let (a,) be a Cauchy sequence of nonzero real numbers. Which of the
following statements about (a,) may be FALSE?
Select one:
a. The sequence e
is Cauchy
b. inf(S)3 sup(S) where S is the set of subsequential limits of (a,)
Oc. Every subsequence of the sequence (a,) is a convergent sequence
O d. The sequence (In a,+1) is Cauchy
Transcribed Image Text:Let (a,) be a Cauchy sequence of nonzero real numbers. Which of the following statements about (a,) may be FALSE? Select one: a. The sequence e is Cauchy b. inf(S)3 sup(S) where S is the set of subsequential limits of (a,) Oc. Every subsequence of the sequence (a,) is a convergent sequence O d. The sequence (In a,+1) is Cauchy
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