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It is said that infinite unbounded set do not have limit.. but here it is... is s is bounded or unbounded.. according to me it's bounded. what is your view poin
emark: t may, however, be noutu 1 1 S-1234 n infinite unbounded set, which has the limit point viz. 0. prem 1: Every finite set is bounded.
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Deepak singh 1
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s has subsequence ( 1,2,3 ... n) which is unbounded , so S is unbounded. see attached
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but in study material it is mention that limit is 0. which made me confused
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as S is unbounded , it can't have limit point , there maybe mistake in study material..
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but subsequence of S (1,1/2,1/3,...1/n ) is bounbed , it's have limit 0
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Arzoo
It has subsequence {1/n} therefore it has subsequence converges to zero i.e. one limit point is zero. But as it is unbounded implies whole s is not convergent therefore there doen't exists limit of a sequence