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Trigonometric Limit Help

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X->0
cot3x/cotx

I get stuck here:
I change the expression to (cos3x/sin3x)/(cosx/sinx)
Then I rewrite it to
(Cos3x/Sin3x) * (Sinx/Cosx).
Then I get stuck.
Can someone tell me where to go from there and why you do what you do?
>>
If you can understand it...
Basically consider 3x like 2x + x and use the formula cos(x+y) = cos2(x)cos(y) - sin2(x)sin(y) and sin(x+y) = sin(x)cos(y) - cos(x)sin(y) and shit is cash
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