lim(x趋向0)arctanx-sinx/x^3

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/21 18:49:08

lim(x→0) (arctanx - sinx)/x³,洛必达法则
= lim(x→0) [1/(1 + x²) - cosx]/(3x²)
= (1/3)lim(x→0) (1 - cosx - x²cosx)/(x² + x⁴),洛必达法则
= (1/3)(1/2)lim(x→0) (sinx - 2xcosx + x²sinx)/(x + 2x³),洛必达法则
= (1/6)lim(x→0) (- cosx + 4xsinx + x²cosx)/(1 + 6x²)
= (1/6)(- 1 + 0)/(1 + 0)
= - 1/6

lim(x趋向0)(arctanx-x)/sinx^3 lim(x趋向0)(x^3)/(x-sinx) 求lim x趋向于0(arctanx)/(x^2+1) 求lim x趋向于0(x-sinx)/tanx^3 当x趋向于0+,lim arctanx/lnx=? lim ln(e^sinx) x趋向0 lim x趋向0 x^2-sinx/x+sinx 1.x趋向0 lim (cosx-1)/x 2.x趋向0 lim sinx/x 求lim x趋向0 (sinx-xcosx)/x^3可不可以这么算将sinx~x lim(x-sinx)/x的三次方 X趋向0 lim x趋向于0+(x^x-(sinx)^x)/x^3 求lim sinx^2/(sinx)^2 x趋向0