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