Posted by: lootekukur August 14, 2008
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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)
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)