计算limx→1 sin(x-1)/x²-1=?

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/16 06:37:42
计算limx→1sin(x-1)/x²-1=?计算limx→1sin(x-1)/x²-1=?计算limx→1sin(x-1)/x²-1=?当x→1时,limsin(x-1

计算limx→1 sin(x-1)/x²-1=?
计算limx→1 sin(x-1)/x²-1=?

计算limx→1 sin(x-1)/x²-1=?
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.

limx→1
limsin(x-1)/x²-1=limsin(x-1)/(x-1)(x+1)=lim1/(x+1)=1/2

0.5 洛必达法则