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
.
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