Question

如果limx-sinx+f(x)/x^4存在,求limx^3/f(x)

若lim[sinx+f(x)/x^3]=0,试求lim[tanx+f(x)/x^3] 当x→0
要完整的步骤

Answer 1

简单计算一下即可，答案如图所示

Answer 2

0=lim [sinx+f(x)/x^3]=lim sin x + lim f(x)/x^3=0+ lim f(x)/x^3=0,有 lim f(x)/x^3=0
lim[tanx+f(x)/x^3] =lim tanx+limf(x)/x^3 = 0+0 =0