Functie uniform continua

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Lavinia
Euclid
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Joined: Mon Mar 24, 2008 10:54 pm
Location: Timisoara

Functie uniform continua

Post by Lavinia »

Fie \( f:{\mathbb R} \rightarrow {\mathbb R} \) o functie uniform continua pe \( {\mathbb R} \). Demonstrati ca \( \exist a, b \in \mathbb{R}_+ \) a.i. \( |f(x)| \leq a|x| + b, \forall x \in {\mathbb R} \).
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