Branches History Index

◀ ▲ ▶Branches / Analysis / Theorem: Bernoulli's Inequality

Theorem: Bernoulli's Inequality

For all real \(x \ge -1\) and all natural numbers \(n\ge 2\), the following inequality holds: \[(1+x)^n \ge 1 + nx.\]

Table of Contents

Proofs: 1

Mentioned in:

Proofs: 1 2

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

Github:
bookofproofs

References

Bibliography

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