## little-o notation

Let u(x) and v(x) are functions of variable x: $\lim_{x\to a} u(x) = \lim_{x\to a} v(x) =0$. We say that u(x)~v(x) if $\lim_{x\to a}\frac{u(x)}{v(x)} =1$.
So, if we have u~u', v~v'; can we have u+v~u'+v'?