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lim(x→1)[sin(x^2-1)]/(x-1)= lim(x→1){[sin(x^2-1)/(x^2-1)]×(x+1)} =lim(x→1)[sin(x^2-1)/(x^2-1)]×lim(x→1)(x+1) =1×(1+1)=2.
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