lim(3x-5)/(x^3sin(1/x^2)) 其中x趋于无穷

lim x->0 (sin x-tan x)/sin (x^3) lim(3x-5)/(x^3sin(1/x^2)) 其中x趋于无穷 lim(n→1)sin(1-x)/(x^3-1) lim(1+sinx-sin(sinx))^x^-3 x趋于0 lim x [sin ln(1+3/x)-sin ln(1+1/x)],x趋近于无穷大, lim x->无穷 [(5x^2+1)/(3x-1)]*sin(1/x)+[(x+1)/x^2]*sinx 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 求极限 （（sin(x^3+x^2-x)+sin x) /x x→0 已知lim sinx/x=1 lim→0 sin^3/x^3 求极限lim[sin(x^3)/x(x-ln(1+sinx))] x趋于0lim[sin(x^3)/x(x-ln(1+sinx))] x趋于0 用罗必达法则解 （见图）lim [(e^x)-1/sin（5x)]x->0lim [1-cos(5x)/1-cos(7x)]x->0lim x->0 [(8^x-7^x-1)/(x^2)-1]lim [1-(6/x)]^x x->∞ lim 7cos(3x)sec(9x)x->pi/2 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) 1-x^2-e^(-x^2)/x*sin^(3)2x lim x趋向无穷 {（2x^3+x)sin (2/x) }/ x^2+1 烦人的数学微积分1、lim(x→0)Sin3x/Sin2x2、lim(x→0)x/3*Sin3x3、lim(x→0)[Xsin(3/x)+(tanx/2x)]4、lim(x→3)Sin(x-3)/(X^2-X-6)5、lim(x→∞)[1+(1/2x)^x6、lim(x→∞)(x+3/x)^x7、lim(x→0)（1-x/2)^1/x+118、求下列函数的间断