lim[(x+sin x/)/(x+sin 5x)],x无限趋近于0.烦请写出步骤.

lim(x(sin)^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 x->0 (sin x-tan x)/sin (x^3) lim（x ->0）sin x /x ^3+3x lim(x→0)×(x-sin²3x)/x lim (x->0) sin(3x)+4x/xsec(x) lim x趋于0 （x-sin x）/x^3 lim (x->0) [tan(tan x)-sin(sin x)]/(tan x -sin x) lim (x^x-sin(x)^x)/(sin(x)sin(x)ln(1+tan(x))) x趋于零 求极限,lim x趋于0 x * sin 1/x lim:x平方-1/sin(x-1),x趋于1 lim x→∞ (x+sin 2x)/2 lim(sin(x^2*cos(1/x)))/x怎么做? lim(x趋向0)ln(1+sin x)/x^2 lim sin 3x/x-π,(x→π) 求极限lim(x-->0)x^2 sin(1/x), lim sin(x-1)/x-1 x趋向无穷 lim[(sin x)^tan x],x趋向于Pai/2