2.计算下列极限:-|||-(1) lim _(xarrow 0)((1-x))^dfrac (1{x)} :-|||-(3) lim _(xarrow infty )((dfrac {1+x)(x))}^2x =-|||-(2) lim _(xarrow 0)((1+2x))^dfrac (1{x)} :-|||-(4) lim _(xarrow infty )((1-dfrac {1)(x))}^kx (k为正整数).

讨论函数(x)=lim _(narrow infty )dfrac (1-{x)^2n}(1+{x)^2n}x的连续性，若有间断点，判别其类型 .

(2) lim _(narrow infty )dfrac (3n+1)(2n+1)=dfrac (3)(2) ;

9.设函数 (x)=ln (1+(x)^2), 则 lim _(xarrow 0)dfrac (f(3+2h)-f(3-h))(h)= __ .

1.计算下列极限:-|||-(1) lim _(xarrow 2)dfrac ({x)^2+5}(x-3) .-|||-(3) lim _(xarrow 1)dfrac ({x)^2-2x+1}({x)^2-1}-|||-(5) lim _(harrow 0)dfrac ({(x+h))^2-(x)^2}(h) :-|||-(7) lim _(xarrow infty )dfrac ({x)^2-1}(2{x)^2-x-1} ;-|||-(9) lim _(xarrow a)dfrac ({x)^2-6x+8}({x)^2-5x+4} =-|||-(11) lim _(narrow infty )(1+dfrac (1)(2)+dfrac (1)(4)+... +dfrac (1)({2)^n})-|||-1/2^n);(12)-|||-(13) lim _(narrow infty )dfrac ((n+1)(n+2)(n+3))(5{n)^2} ;-|||-(2) lim _(xarrow sqrt {3)}dfrac ({x)^2-3}({x)^2+1} ;-|||-(4) lim _(xarrow 0)dfrac (4{x)^3-2(x)^2+x}(3{x)^2+2x} =-|||-(6) lim _(xarrow infty )(2-dfrac (1)(x)+dfrac (1)({x)^2}) ;-|||-(8) lim _(xarrow infty )dfrac ({x)^2+x}({x)^4-3(x)^2+1} ;-|||-(10) lim _(xarrow infty )(1+dfrac (1)(x))(2-dfrac (1)({x)^2}) ;-|||-lim _(narrow infty )dfrac (1+2+3+... +(n-1))({1)^2} ;-|||-(14) lim _(xarrow 1)(dfrac (1)(1-x)-dfrac (3)(1-{x)^3}) -

5 3 -1 2 O-|||-1 7 2 5 2-|||-例2 计算行列式 D= .0 .-2 3 1 0-|||-0 .-4 .-1 4 0-|||-O 2 3 5 0

某人投篮每次命中率为0.7,现独立投5次,恰好命中4次的概率是

设事件A、B为任意两个随机事件，则（ ）A. 若P（A）=0，则事件A是不可能事件B. 若P（A）=0，P（B）≥0，则事件B包含事件AC. 若P（A）=0，P（B）=1，则事件A与事件B相互对立D. 若P（A）=0，P（B）=1，则事件A与B事件相互独立

2.14 设随机变量X的概率密度函数为-|||-f(x)= {e)^dfrac (-{(ln x)^2)(2)},xgt 0 0,xgt 0 . 其中 gt 0 为常数.则-|||-(1).求常数c;-|||-(2).设 =ln x, 且Y的分布函数为G(y),求Y概率密度函数g(y);-|||-(3).求G(Y)的概率密度函数.

求行列式的值 1 1 1-|||-a b c-|||-b+c c+a a+b

热门问题