How should I start by proving this? I know that for very large N values the difference between the two numbers will be minimal, but I do not know how to prove it to my concrete math teacher.
2026-03-31 22:24:49.1774995889
Prove that [n / 3] = O (n)
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1
Hint:
$$\forall n\in\mathbb{N},\quad \lfloor{n\over3}\rfloor\le {n\over 3}\le n$$