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Proposition: Inequality between Square Numbers and Powers of $2$
For all natural numbers $n\neq 3$, the following inequality holds $$n^2\le 2^n.$$
- For $n=3$, we have $9=3^2 > 2^3 = 8.$
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- Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983