lim(x趋向0)(x^3)/(x-sinx)

问题描述:

lim(x趋向0)(x^3)/(x-sinx)

lim(x->0) ) x^3/(x-sinx)
=lim(x->0) 3x^2/(1-cosx) //: 用一次洛必达法则
=lim(x->0) 6x/(sinx)//: 再用一次
=lim(x->0) 6/cosx
=6