lim(x→0)x^sin8x/sin^2(4x)sin10x写错了 是lim(x→0)x^2 sin8x/sin^2(4x)sin10x

lim(x→0)x^sin8x/sin^2(4x)sin10x写错了 是lim(x→0)x^2 sin8x/sin^2(4x)sin10x lim(x→0)×(x-sin²3x)/x lim→0 sin^3/x^3 lim (x→0+)sin x/x= lim （x→0）x sin 1/x= lim x->0 (sin x-tan x)/sin (x^3) lim(x(sin)^2) 求极限 （（sin(x^3+x^2-x)+sin x) /x x→0 已知lim sinx/x=1 证明lim(x→0)x*sin(1/x)=0我的证明如下:lim(x→0)x*lim(x→0)sin(1/x)因为lim(x→0)x为无穷小量.0 1.lim x→0 3x/(sinx-x)2.lim x→0 (1-cosmx)/x^23.lim x→0 sin4x/[(√x+2)-√2]4.lim h →0 [sin(x+h)-sin(x-h)]/h lim(x→0)[tan(2x+x^3)/sin(x-x^2)] lim（x ->0）sin x /x ^3+3x 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→0+)sin³√X/xlim(X→0+)sin³√X/x怎么解,, 用洛必达法则求极限lim（x→0）（sin 4x）/（sin lim(x→0)(e^tan x-e^sin x)/x^3,rt