lim (e^x-x-1)/xcosx(0/0 型不定式,可以运用罗毕达法则)
x→0
=lim (e^x-1)/(cosx-xsinx) (已经是定式,直接代入计算)
x→0
=(e^0-1)/(cos0-0sin0)
=(1-1)/(1-0)
=0/1
=0