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# Answer to Question #1962 in Real Analysis 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.]
If the limit is larger than M, there exists un (n-&gt; &infin;) , such that |un| &gt; M, so the sequense is not bounded by M.

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Assignment Expert
23.03.11, 17:38

You are welcome

sonam
20.03.11, 08:22