Bernoulli's inequalityBernoullisInequality2001-10-17 01:14:252008-11-19 16:48:08Theorem\usepackage{amssymb}
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If\; $0>r>-1$ or $r>1$ and $x>-1$ then
$$(1+x)^r\ge 1+xr.$$
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The inequality also holds when $r$ is an even integer.
For $0<r<1$ the inverse inequality holds.