Word Count : 241

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i) Consider the set of non-negative integers ( \mathbb{Z}_{\ge 0} = {0, 1, 2, 3, \dots } ). The Bolzano-Weierstrass Theorem states that every bounded sequence in ( \mathbb{R} ) has a convergent subsequence. Take any sequence ( a_n = n ) in this set. Clearly, ( a_n ______ ______ ______ _________ ______ ________ _____ ______ _______.
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