IIT JAM Follow
January 31, 2021 7:59 am 30 pts
Which one of the following is TRUE ? |(A) Every sequence that has a convergent subsequence is a Cauchy sequence. Every sequence that has a convergent subsequence is a bounded sequence (B) (C) The sequence {sin n} has a convergent subsequence. D) The sequence n has a convergent subsequence. give a counter example to disprove the option and solve the question
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• Anonymous User
Option D
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• Anonymous User
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• Sonu saini
no option B is not correct...
• Anonymous User
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• Anonymous User
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option C is correct because (sin n ) is bounded sequence and every bounded sequence has convergent subsequence
Kishan
option B is also correct naa... if not why??
• Anonymous User
only option C is correct