lim<sub>x→1</sub>sin(x-1)/(x<sup>2</sup>+x-2)()

lim_x→1sin(x-1)/(x²+x-2)()

lim_x→1sin(x-1)/(x²+x-2)()
B、3
C、1/3
D、1
【正确答案】：C
【题目解析】：lim_x→1[sin(x-1)]/[(x+2)(x-1)]=lim_x→11/(x+2)•lim_x→1sin(x-1)/(x-1) =1/3•1=1/3

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