计算limx→1 sin(x-1)/x²-1=?_数学解答

计算limx→1 sin(x-1)/x²-1=?

人气：187 ℃　时间：2020-07-02 03:14:15

解答

当x→1时,
limsin(x-1)/(x²-1)
=limsin(x-1)/(x-1) *1/(x+1)
=limsin(x-1)/(x-1)*lim1/(x+1)
=1*1/(1+1)
=1/2.