I am trying to find the limit of
$\lim_{x\to 0}\frac{\sin{3x}}{x}$
I have no idea what I am supposed to do. I know the identity that,
$\lim_{x\to0}\frac{\sin{x}}{x} = 1$
but that will not be good enough on a test and I am not sure why that is true anyways. I do not know how I am supposed to proceed with this problem.