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Chintamani
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Posted on 08-14-08 3:14
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Monotone sequence converges iff it is bounded, Prove it?
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OcRam
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Posted on 08-14-08 3:19
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Afon homework hami lai dini tesari Chintamani Ji, bhayena ni teo ta yaar.
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Chintamani
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Posted on 08-14-08 3:21
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hehe. Its just two lines answer.
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Chintamani
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Posted on 08-14-08 3:23
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HINT: Every Convergent sequence is bounded.
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lootekukur
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Posted on 08-14-08 3:29
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monotone sequence (of real nos ni pheri) converges when it has a finite limit. since limit is finite only when the swquence is bounded, the sequence converges iff it is bounded.
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Chintamani
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Posted on 08-14-08 3:34
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but that doesnot completes the proof
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lootekukur
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Posted on 08-14-08 3:50
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two steps: 1) you can prove that a monotone sequence converges when it has a finite limit (by contradiction...assume that a sequence has a finite limit and try to prove that it's not convergent...u'll get the contradiction). 2) the limit is finite iff it is bounded (by identity)
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Confidential
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Posted on 08-14-08 6:13
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lol...Chintamani is doing real analysis. Google it dude. :)
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