If the distance between two consecutive terms decreases, the sequence is oscillating amortized, it is to say: $$|X_{t+2}-X_{t+1}|<|X_{t+1}-X_{t}| $$ For any t.
Does it exist a diverge-oscillating-amortized sequence?
2026-03-28 00:06:12.1774656372
Does it exist a sequence with this characteristic?
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Sure, what about $(\ln(n))_{n\in\mathbb{N}}$?