Question: 1. Prove that if a real valued sequence (an) does not have an upper bound then there is a subsequence (an ) that converges to

1. Prove that if a real valued sequence (an) does not

1. Prove that if a real valued sequence (an) does not have an upper bound then there is a subsequence (an ) that converges to infinity in the extended reals

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Prove that if a real valued sequence (an) does not have a lower bound then there is a subsequence (am) that converges to negative infinity in the extended reals

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