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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
Wolfram Demonstrations Project
Published: March 7 2011