Question: Consider a sequence (can). Prove that the following two statements are equivalent (i.e., if and only if). 1. There is a subsequence (am) of (am)

Consider a sequence (can). Prove that the following two statements are equivalent (i.e., "if and only if"). 1. There is a subsequence (am) of (am) such that 2 am converges. 2. liminf|an| : 0

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