Let $x_1,\ldots,x_n$ be non-negative real numbers for some natural number $n\in\mathbb N.$ Then the following inequality holds:

$$\prod_{k=1}^n(1+x_k)\ge 1+\sum_{k=1}^n x_k.$$

| | | | | created: 2020-06-25 09:22:45 | modified: 2020-06-25 09:31:47 | by: *bookofproofs* | references: [8311]

[8311] **Modler, F.; Kreh, M.**: “Tutorium Analysis 1 und Lineare Algebra 1”, Springer Spektrum, 2018, 4. Auflage