Bernoulli Inequality

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The Bernoulli Inequality states that for and n an integer greater than 1:
with equality if and only if
. This Demonstration shows, for various integer values of n greater than 1, the graph of the left-hand side of the inequality in blue and the graph of the right-hand side in red. Use the sliders to adjust the value of n and the viewing window and notice that the blue curve is always above the red one, with the only contact occurring at
.
Contributed by: Chris Boucher (March 2011)
Open content licensed under CC BY-NC-SA
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"Bernoulli Inequality"
http://demonstrations.wolfram.com/BernoulliInequality/
Wolfram Demonstrations Project
Published: March 7 2011