lim趋于0((tanx-x)/(x-sinx))^(cotx-1/x)

lim趋于0((tanx-x)/(x-sinx))^(cotx-1/x) x趋于0时,求lim(x-tanx)/x^2, lim(x趋于0)（tanx-sinx）/[(1-cosx)x] 求极限lim(x趋于0)(x-tanx)/(sinx)^3 lim(x趋于0）tanx-sinx/x^2=? 求lim(x趋于0） (tanx-sinx)/x^3 Lim(x趋于0)（tanx-sinx）/x= lim(x趋于0)(tanx-sinx)/3x^2 lim x趋于0[(tanx-sinx)/sinx^3]的极限 lim(e^tanx-e^3x)/sinxx趋于0 lim(x趋于无限tanx)(tanx-x)/x^3等于多少.怎么求的? lim(x趋于0)(arctanx-x)/2(x^3)等于多少.怎么求的 求极限lim (e^1/x+e)tanx/x(e^1/x-e) x趋于0^+ 求lim(x趋于0)((x-sinx)/(x-tanx))的极限 求出极限lim(tanx/x)^(1/x^2) x趋于0 求极限：lim[(x^2sin1/x)/tanx],x趋于0 x趋于0 lim sinx-tanx/x^3=lim sinx/x×(cosx-1)/(x^2×cosx)是怎么通分的?x趋于0 lim sinx-tanx/x^3=lim sinx/x×(cosx-1)/(x^2×cosx)thank you 求(x-tanx)/(xsin^2x)的极限lim(x趋于0)x^2e^(1/x^2) lim(x趋于0+)x^sinx 利用函数极限求数列极限（例题）设函数f(x)=(tanx/x)^((1/(x^2))于是x趋于0 lim f(x) =x趋于0 lim(tan/x)^(1/(x^2))=e^lim x趋于0 ln (tanx/x)/(x^2)=e ^lim x趋于0 ((tan/x)-1)/(x^2)=e^lim x趋于0 (tanx-x)/(x^3)=e^1/3 lim x趋于0 (