limx→1sin(x-1)/(x2+x-2)()

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