lim(tan^3(3x)/(X^2sin(2x))(x趋近于0）

lim x->0 (sin x-tan x)/sin (x^3) lim(x→0)[tan(2x+x^3)/sin(x-x^2)] 1、lim(x->无穷大) e^x arctanx2、lim(x->0)sinx√1+sin(1/x)3、lim(x->无穷大)【（√x^2+x+1）-【(√x^2-x+1)】4、lim(x->无穷大)((x+{x+(x)^0.5]^0.5}^0.5)/(2x+1)^0.55、lim(x->0)(sin3x+x^2sin1/x)/((1+cosx)x)6、lim(n->无穷大)(2^n)(si lim(tan^3(3x)/(X^2sin(2x))(x趋近于0） lim(2-x)tanπ/4x 求lim(x->1)[(3x-3)tan((π/2)x] 求lim(x->0)(1+3(tan^2)x)^((cot^2)x) lim(x→0)(1+3tan^2(x))^cot^2(x)=? 数学极限lim(x→0)((x^3)/(3*x^2-1)) lim(x→+无穷)(√x(x+2)-√(x^2-x+1)) lim(x→1)(tan(x-1))/(x^2-1) 求极限lim趋向0 积分【X,0】 tan^2 tdt/ln(1+x^3) 1.lim x→0,(tanx-sinx)/(sin2x)^3 2.lim x→0,sin(x-1)tan(x-1)/2(x-1)lnx .. 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 ( 极限中无穷小量代换和高阶无穷小量略去问题Lim (1/x^2-cot^2x)=lim (1/x^2-1/tan^2x)=lim(tan^2x-x^2)/x^2*tan^2x=lim(tan^2x-x^2)/x^4=lim(tan^2x/x^4)=lim2tanxsec^2x/4x^3=lim2xsec^2x/4x^3=limsec^2/2x^2=lim2sec^2xtanx/4x=limsec^2x*x/2x=lim 几道极限题!1,lim(x->1)(1-x)tanπ/22,lim(x->0)(tanx-sinx)/x^3 lim [(1+tan x)/(1+sin x)]^(1/x^3) x趋于零 lim(x→0)(e^tan x-e^sin x)/x^3,rt 求 lim(tan x-sin x)/(sin x)^3 x趋于0的极限值详细步骤 lim x→-2 (tanπx)/(x+2) 2.lim x→0 cot2xcot[(π/2)-x] 3.lim x→π/3 (1-2cosx)/(π-3x)