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Calculus : limits


Hi,

I'd like to find the limit of
Limit[(Abs[Sin[x]-Sin[2 x]]) / x, x->0]

I use Mathematica v.5. I get the wrong (??) answer : 1

While I try to display the graph of this function by using "Plot", it 
seems that there is no limit at the point x=0.
Please help...

Amir


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