Another one:

$\displaystyle \lim_{x\to\0}\frac{\6x + 6sin(x)}{4x + 4cos(x)}$ , when evalated gives me $\displaystyle \frac{0 + 0}{0 + 1}$ which equals to $\displaystyle \0/1$ and it's 0 ;

there is really nothing to do with it and the limit is $\displaystyle \0$?