求lim(x->1)[(3x-3)tan((π/2)x]

求lim(x->1)[(3x-3)tan((π/2)x] 求lim(x->0)(1+3(tan^2)x)^((cot^2)x) lim(1+tan×)^1/x求极限 救助,一道高数文科题求下列极限1、lim(x->0)sin nx/tan mx ,n*m不为02、lim(x->0)x-sin x/x+ tan x3、lim(x->0)tanx-sinx/x^3 求极限lim趋向0 积分【X,0】 tan^2 tdt/ln(1+x^3) lim x->0 (sin x-tan x)/sin (x^3) 求 lim(tan x-sin x)/(sin x)^3 x趋于0的极限值详细步骤 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 ( x→1,求lim（tanπx/4）^tanπx/2求极限, 几道极限题!1,lim(x->1)(1-x)tanπ/22,lim(x->0)(tanx-sinx)/x^3 求极限中无穷小代换和高阶无穷小略去问题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=limsec lim [(1+tan x)/(1+sin x)]^(1/x^3) x趋于零 lim(1-x)^3/x 求极限~ 利用等价无穷小代换求x趋向于0时lim[tan(3x²)/(1-cosx)]极限 求极限：lim(1-x)tan Π/2 求极限lim┬(x→0)⁡〖(tan⁡x-sin⁡x)/ln⁡(1+x^3 ) 〗lim┬(x→0)⁡〖(x-sin⁡x)/x^3 〗 当x趋于0时:lim (tan x - sin x )/x^3 lim [(a^x+b^x+c^x)/3]^(1/x) ( a,b,c > 0 ) lim(1+3tan²x)^cot²x (x→0)