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## Main Question or Discussion Point

For months I have been staring into this expression, and I cannot visualize what the hell omega represents...

f(x)-f(x

Where [tex]\omega[/tex](x)(=[tex]\omega[/tex](x;[tex]\Delta[/tex]x)) is a continuous function in point x

or lim, as x approaches x

I do not completely understand this statement above. What does it represent? How do you understand this?

Thanks

f(x)-f(x

_{0})=f'(x_{0})(x-x_{0})+[tex]\omega[/tex](x)*(x-x_{0})Where [tex]\omega[/tex](x)(=[tex]\omega[/tex](x;[tex]\Delta[/tex]x)) is a continuous function in point x

_{0}and equals zero in that pointor lim, as x approaches x

_{0}of omega(x)= omega(x_{0})=0I do not completely understand this statement above. What does it represent? How do you understand this?

Thanks