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If f(x)={{:(a+(sin[x])/x,xgt0),(2,x=0),(...

If f(x)=`{{:(a+(sin[x])/x,xgt0),(2,x=0),(b+[(sinx-x)/(x^(3))],","xgt0):}` (where [.] denotes the greatest integer function).
If f(x) is continuous at x=0 then a+b is equal to

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