f(x)=x^2sin(1/x),x不=0.x=0,f(x)=0.求它的渐近线方程
问题描述：
f(x)=x^2sin(1/x),x不=0.x=0,f(x)=0.求它的渐近线方程
答
啊啊啊啊啊啊啊啊啊啊啊，看着好难呀
答
设渐近线方程：y=kx+bk=lim【x→∞】f(x)/x =lim【x→∞】xsin(1/x) =lim【x→∞】x·1/x =1b=lim【x→∞】f(x)-kx =lim【x→∞】x^2·sin(1/x)-x =lim【x→∞】x^2·[(1/x)-(1/x)^3/3!+o(1/x^3)]-x =lim【x→...