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