x→0时,若x-[sin(x^3)]^1/3与Ax^k是等价无穷小,求A和k

求极限 （（sin(x^3+x^2-x)+sin x) /x x→0 已知lim sinx/x=1 为什么当x→0时极限sin(x*sin(1/x))/x*sin(1/x)不存在 lim(x→0)×(x-sin²3x)/x lim x->0 (sin x-tan x)/sin (x^3) 若SIN X*COS X =1/3,已知0 (sin 1/x) /x lim （x→0）x sin 1/x= 数学达人帮助求极限!当x->0时sin(x)=x+o(x)x*cos(x)=x-x^3/2!+o(x^3)sin(x)^3=x^3+o(x)lim(sin(x)-x*cos(x)/sin(x)^3=1/2请问错在哪里?谢谢! 求（sin（x∧2sin（1/x）））/x当x→0时的极限 sin(sinx)/x,x 趋于0的极限sin(sin(x))/x=[sin(sin(x))/sin(x)]*sin(x)/x=1*1=1sin(sin(x))/sin(x)这一部我不明白阿 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 ) 当x趋于0时,x^3-sin(x^2)与sin（x^2）是等价无穷小吗?求当x趋于0时 极限lim x^3-sin(x^2) / x^2= 老师说 x^3-sin(x^2)与x^2为等价无穷小可是我算 lim x^3-sin（x^2）/ sin（x^2）= x^3/x^2 - 1=x-1 =-1-1 也是等价无穷小 3道求极限的题目1.sin 2x/sin 5x （x→0）2.(sin x - sin a)/(x - a) (x→a)3.sin ωx/x (x→0) 求x→0时lim[e^x-e^(-x)-2x]/sin^3x的极限要过程,谢谢 lim(x→0)[tan(2x+x^3)/sin(x-x^2)] lim(x->0) 1-x^2-e^(-x^2)/x*sin^(3)2x lim（x ->0）sin x /x ^3+3x lim (x->0) sin(3x)+4x/xsec(x)