当X→0时,X^a与sin ^3X^2为等价无穷小,则a等于多少?

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/24 03:22:09
当X→0时,X^a与sin^3X^2为等价无穷小,则a等于多少?当X→0时,X^a与sin^3X^2为等价无穷小,则a等于多少?当X→0时,X^a与sin^3X^2为等价无穷小,则a等于多少?sin&

当X→0时,X^a与sin ^3X^2为等价无穷小,则a等于多少?
当X→0时,X^a与sin ^3X^2为等价无穷小,则a等于多少?

当X→0时,X^a与sin ^3X^2为等价无穷小,则a等于多少?
sin³x² 等价于 (x²)³=x^6
所以a=6

当X→0时,X^a与sin ^3X^2为等价无穷小,则a等于多少? 当x→0时,下列变量与sin^x为等价无穷小量的是( )A.根号xB.xC.x^2D.x^3 当x趋于0,x^a与(sin^3)x^2为等价无穷小,则a等于? lim x→0 sinx/(x^2+3x)2.当x→0,下列变量中()与x为等价无穷小.A.sin^2x B.In(1+2x) C.xsin(1/x) D.根号(1+x)-根号(1-x) 3.lim x→∞ sin(1/x)=?4.lim x→∞(x-根号(x^2-1)=? 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 若当x趋向于0时,2x^2与sin(ax^2/3)为等价无穷小,则a=? 当a和b为何值时,当x→0时 sin(3x)/x^3+a/x^2+b的极限等于0 f(x)=sin(x+a)+根号3cos(x-a),1当为偶函数是求a,2当为奇函数时求a 当x趋于0时,下列变量中与(sin^2)x等价无穷小量的是( ):A:根号x B:x C:x^2 D:1-cosx 当x→0时 x-sin(x)与kx^3为等价无穷小 k=1/6求过程 (0,2π),当x为多少时,sin x=cos x 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 ) 已知当x趋向于0时,∫(x,-x)(sin(t)+sin(t^2))d(t)与a(x^k)是等价无穷小,则 ( )A.a=3,k=3/2 B.a=2/3,k=3C.a=3,k=2/3D.a=3/2,k=3∫(x,-x)(sin(t)+sin(t^2))d(t)中(x,-x)顺序弄反了,应该是(-x,x) 当x趋向π lim (sin 3x )/( sin 2x) 的极限为? 当x → 0时,函数sin(2x+1) / (2x+1)的极限为( )A:2 B:1 C:sin1 D:0 为什么当x→0时极限sin(x*sin(1/x))/x*sin(1/x)不存在 已知f(x)=sin(2x+π/6)+sin(2x-π/6)+2cos^2x+a,当x属于[-π/4,π/4]时,f(x)的最小值为-3,求实数a的值 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)