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(c) - if the use cauchy's criterion of convergence of sequence to< a, >=2 n then sa> is (a) not a cauchy sequence (b) a cauchy sequence (c) convergent (d) diver
(C) - If the use Cauchy's criterion of convergence of sequence to< a, >=2 n then sa> is (A) Not a Cauchy Sequence (B) A Cauchy Sequence (C) Convergent (D) Divergent
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Srinath
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As n tends to infinity, you can observe that this sequence is equivalent to the sequence of partial sums of the series of e - 1, which shows that this sequence is convergent. Therefore it is Cauchy. And every convergent sequence is bounded.
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Deepak singh 1 Best Answer
see attached proof . an is cauncy sequence and thus convergent . option b and c are correct if any doubt then ask.
why we are taking (n+1)!
for proving..