([ varphi (x)] )^m+([ varphi (x)] )^n-([ varphi (x)] )^m (m,n为常数,且 gt mgt 0,-|||-[例27]试确定当 arrow 0 时,下列 __ 是关于x的三阶无穷小.-|||-

设函数 varphi(x) 连续，且满足 varphi(x)= e^x + int_0^x t varphi(t), dt - x int_0^x varphi

设varphi (x)为标准正态分布函数,varphi (x)且varphi (x),varphi (x)相互独立。令varphi (x),则由中心极限定理知v

给定以下4个命题① 若lim f(x) = a，且lim varphi(x) = 0，则lim [f cdot varphi](x) = a。② 若f(x)在x

[例3] 设可导函数 y=y(x) 由方程 sin x-(int )_(x)^yvarphi (u)du=0 确定,其中可导函数-|||-varphi (u)g

[题目]设 (x)=(e)^(x^2), [ varphi (x)] =1-x, 且 varphi (x)geqslant 0, 求-|||-φ(x)及其定义域

已知lim _(xarrow {x)_(0)}varphi (x)=0，则下列结论正确的个数为lim _(xarrow {x)_(0)}varphi (x)=0

设f(x)连续, varphi (x)=(int )_(0)^1f(xt)dt, 且 lim _(xarrow 0)dfrac (f(x))(x)=A设f(x)

求下列极限:-|||-lim _(xarrow a)dfrac ({x)^m-(a)^m}({x)^n-(a)^n}(aneq 0)

25.设总体为韦布尔分布,其密度函数为-|||-(x,m,n)=dfrac (m{x)^m-1}({n)^m}ep[ -((dfrac {x)(n))}^m]

4.求 (x)=dfrac (x)(x), varphi (x)=dfrac (|x|)(x) 当 arrow 0 时的左右极限,并说明它们-|||-在 arr