◀ ▲ ▶Branches / Analysis / Proposition: Inequality between Square Numbers and Powers of `$2$`

Proposition: Inequality between Square Numbers and Powers of $2$

For all natural numbers $n\neq 3$, the following inequality holds $$n^2\le 2^n.$$

Example

• For $n=3$, we have $9=3^2 > 2^3 = 8.$

Table of Contents

Proofs: 1

Thank you to the contributors under CC BY-SA 4.0!

Github:

References

Bibliography

1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983