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\[ f(x) = \left\{ \begin{matrix}
\sqrt{x} + x\sin\left(\frac{1}{x}\right) , & x > 0\\
0 , & x=0
\end{matrix}\right. \]

και \( g(x) = -f(-x), \forall x>0\)

 

https://www.geogebra.org/classic/tczjp5ns

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