求函數limx→+∞(x.sin1/x)的極限 - 愛問知識人
求函數limx→+∞(x.sin1/x)的極限:limx→+∞(x.sin1/x)=limx→+∞(sin1/x+x*cos(1/x)*(-1/x^2))=li? ... lim x→+∞(x.sin1/x) =lim x→+∞(sin1/x+x*cos(1/x)*(-1/x^2)) =lim x→+∞(sin1/x-cos(1/x)/x) =lim x→+∞(sin1/x)-lim x→+∞(cos1/x)/x =1-0 =1...