Application of I.V.T

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Sun, 10/11/2009 - 14:49

BOURGUIG

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Joined: 05/29/2009

Let $f$ be a numerical function defined on $I=[0,1]$ , as:

$f$[0,1]$ \subset ]0,1[$

Prove that:

$\forall n \in \mathbb{N} : \qquad \exist x_{n} \in ]0,1[ \qquad / \qquad f$x_n$=(x_n)^n$

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