Theorem: Bernoulli's Inequality

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

Proofs: 1

Proofs: 1 2


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References

Bibliography

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