I.V.T and Limits at Infinity

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Sat, 10/17/2009 - 15:29

BOURGUIG

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Joined: 05/29/2009

Let $f$ be a continuous function on $\mathbb{R}$ .
Proove that :

$\big(\qquad \lim_{x \to +\infty}f(x)=-\infty \qquad and \qquad \lim_{x \to -\infty}f(x)=+\infty \qquad \big)\Rightarrow \big( \exist \alpha \in \mathbb{R} \qquad / \qquad f(\alpha)=0\big)$

Euclide

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Softia.

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I.V.T and Limits at Infinity

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