)求下列极限:-|||-(1) lim _(xarrow 1)dfrac ({x)^2-x+1}({(x-1))^2} =-|||-(3) lim _(xarrow infty )((dfrac {2x+3)(2x+1))}^x+1 ;-|||-(5) lim _(xarrow 0)((dfrac {{a)^x+(b)^x+(c)^x}(3))}^dfrac (1{x)}(agt 0,bgt 0,cgt 0) ;-|||-(7) lim _(xarrow a)dfrac (ln x-ln a)(x-a)(agt 0) ;-|||-(2) lim _(xarrow +infty )x(sqrt ({x)^2+1}-x) ;-|||-(4) lim _(xarrow 0)dfrac (tan x-sin x)({x)^3} :-|||-((6)lim(sin x)^1anx;-|||-arrow dfrac (pi )(2)-|||-(8) lim _(xarrow 0)dfrac (xtan x)(sqrt {1-{x)^2}-1}

函数 (x)=dfrac (cos (x-2))(1+{x)^2} 在 (-infty ,+infty ) ()-|||-A 周期函数-|||-B 有界函数-|||-C 奇函数-|||-D 偶函数 1.单边题

设X和Y是相互独立的随机变量,其概率密度分别为-|||-_(x)(x)= ) lambda (e)^-lambda x,xgt 0 0,xleqslant 0 .-|||-(1)求条件概率密度fx|y(x|y).-|||-(2)求Z的分布律和分布函数.

[题目]求下列曲线在所示点处的切线与法平面:-|||-=a(sin )^2t =bsin tcos t,z=c(cos )^2t, 在点 =dfrac (pi )(4).

1.证明：若E有界，则m^*E<infty.

计算行列式：λ -1 0 0-|||-0 λ -1 0-|||-0 0 λ -1-|||-4 3 2 λ +1

2.计算下列极限:-|||-(1) lim _(xarrow 2)dfrac ({x)^3+2(x)^2}({(x-2))^2} ;

设二维离散型随机 变量 ( X , Y ) 的联合分布律为Y 0 1 2 3-|||-X-|||-0 0.1 0.1 2a 0.1-|||-1 0 0.1 0.1 0-|||-2 a 0 0 0.2，则P(X=0)的值是( ) A 0.1 B 0.5 C 0.2 D 1

lim_(x arrow infty ) ((1+x)/(x))^2x

3、求由下列方程所确定的隐函数的导数:-|||-(1) ^2y+3(x)^4(y)^3-4=0 ,求 dfrac (dy)(dx)-|||-;(2) ln sqrt ({x)^2+(y)^2}=arctan dfrac (y)(x) ,求 dfrac (dy)(dx) :-|||-(3) ^-xy+2z-(e)^2=0 ,求 dfrac (7)(9)times .dfrac (9)(9) :-|||-(4) +sqrt ({a)^2-(y)^2}=y(e)^y =dfrac (x+sqrt {{a)^2-(y)^2}}(a)(agt 0) ,求 dfrac (dy)(dx),dfrac ({d)^2y}(d{x)^2} :-|||-(5) ^2+(y)^2+(z)^2-2x+2y-4z-5=0 ,求 dfrac (87)(6times ) -dfrac (9)(6)-|||-;(6) =f(x+y+z,xyz) ,求(c7)/(cx),(cx)/(cy),(Gy)/

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