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Answer on Real Analysis Question for alveen

Question #1962
Prove that if the sequence (un) is convergent and bounded above by M, then the limit is
bounded above my M.
[Hint: Assume that the limit is larger than M and show that a contradiction arises when
 is suitably chosen in the definition of limit.]
Expert's answer
If the limit is larger than M, there exists un (n-> ∞) , such that |un| > M, so the sequense is not bounded by M.

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Comments

Assignment Expert
23.03.2011 10:38

You are welcome

sonam
20.03.2011 01:22

thanks for your answer......

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