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Limit[Sin[a*x]/(a*x), x -> Infinity]

I know that this should be 0 but why can't I get mathematica to think

In[4]:= Limit[Sin[a*x]/(a*x),x->Infinity]

              Sin[a x]
Out[4]= Limit[--------, x -> Infinity]
                a x

Is the problem a? How can I specify the properties of or assumptions
that may be made about a?

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