f:[0,1]--->R given by

f(x)=0 if x=0

$\displaystyle f(x)=xcos(1/x)$, otherwise

How do i prove that f is continuous at the point a=0?

I tried to use the $\displaystyle \lim_{x\to0}f(x)=f(0)$ but I can't go any further from $\displaystyle \lim_{x\to0}cos(1/x)$. maybe I have to use epsilon/delta definition to solve this?

thanks