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

题目类型: 单选题

题目内容

limx→1sin(x-1)/(x2+x-2)()

题目选项

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

题目纠错