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| Title of object: |
Bernoulli's inequality |
| Canonical Name: |
BernoullisInequality |
| Type: |
Theorem |
| Created on: |
2001-10-17 01:14:25 |
| Modified on: |
2006-06-08 14:09:11 |
| Classification: |
msc:26D99 |
Revision comment (for changes between this and next version):
| Changes for correction #7686 ('r>1'). |
Preamble:
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{graphicx}
\usepackage{xypic} |
Content:
Let $x$ and $r$ be real numbers.
If $r>-1$ and $x>-1$ then
$$(1+x)^r\ge 1+xr.$$
\smallskip
The inequality also holds when $r$ is an even integer. |
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