当x趋向于1时,sin平方(x-1)/x平方-1

Question

当x趋向于1时,sin平方(x-1)/x平方-1

Answer 1

x-1→0
所以sin(x-1)~x-1
所以原式=lim(x→1)(x-1)²/(x²-1)
=lim(x→1)(x-1)/(x+1)
=0