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December 12, 2020 9:18 pm 30 pts
(C) If1<1, then lim n 6 Which one of the following is not true ? (A) Every constant sequence is always bounded (6) Every convergent sequence is always bounded (C) Every Cauchy sequence is always convergent (D) Evey bounded sequence has aliways a convergent subsequence nover )
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• Anonymous User
if u take a sequence of rational number like 1/n then it will Cauchy but not convergent in open interval (0, infinite). however this is Cauchy in this interval .
• Anonymous User
see this for Real number sequence.
• Deepak singh
in R ( real system ) all option are true in metric space option c is incorrect take an = 1/n
• Anonymous User
see this
• Baishalini
example
• Baishalini
sir examt