# 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.]

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 Expert23.03.11, 17:38You are welcome

sonam20.03.11, 08:22thanks for your answer......

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