14.设随机变量(X,Y)的概率密度为-|||-,-|||-f(x,y)= ) 1, |y|lt x, 0lt xlt 1 0,(y|x) ,fx|y(x|y).

已知向量组0 underline (1) -1 1 3-|||-A:a1= 1 a2= 1 :B:(b)_(1)= 0 b2= 2 ,b3= 2-|||-1 0 underline (1) 1 -1证明向量组0 underline (1) -1 1 3-|||-A:a1= 1 a2= 1 :B:(b)_(1)= 0 b2= 2 ,b3= 2-|||-1 0 underline (1) 1 -1与向量组0 underline (1) -1 1 3-|||-A:a1= 1 a2= 1 :B:(b)_(1)= 0 b2= 2 ,b3= 2-|||-1 0 underline (1) 1 -1等价.

1.计算下列极限:-|||-(14) lim _(xarrow 1)(dfrac (1)(1-x)-dfrac (3)(1-{x)^3}) -

设函数f(x)和 g (x)可导,且 ^2(x)+(g)^2(x)neq 0, 试求函数 =sqrt ({f)^2(x)+(g)^2(x)} 的-|||-导数.

(6) lim _(xarrow 0)dfrac (sqrt {1+tan x)-sqrt (1+sin x)}(xsqrt {1+{sin )^2x}-x}

12.证明lim_(ntoinfty)((1)/(sqrt(n^2)+1)+(1)/(sqrt(n^2)+2)+...+(1)/(sqrt(n^2)+n))=1.

设3阶行列式|a_(11) & a_(12) & a_(13) a_(21) & a_(22) & a_(23) a_(31) & a_(32) & a_(33)|=（）.A. 2kB. 6kC. 18kD. 2k^3

12.(填空题，5.0分)设随机事件A与B互不相容，且P(A)>P(B)>0，则P(overline(AB))=____.

求下列各极限:-|||-lim 1+tanx-√1+sinx

[题目]-|||-设 f(x)= , xlt 0 0, x=0 xcos dfrac {1)(x), xgt 0 . x=0 是f(x)的 () .-|||-A.连续点 B.可去间断点-|||-C.跳跃间断点 D.振荡间断点

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