9.若对于数列x_{n)},x_(n+1)=f(x_(n)),n=1,2,...,f(x)可导，a是f(x)=x的唯一解，且对任意的xin R,有|f'(x)|leqslant k<1.证明x_{n)}收敛于a.

解方程：(2x+1)/(4)-1=x-(10x-1)/(12)．

4.极限lim_(xtoinfty)((3x+1)/(3x))^2x的值为（）。A. e^2B. e^(1)/(2)C. e^-(1)/(2)D. e^(2)/(3)

18.求下列极限:-|||-(1) lim _(xarrow +infty )(dfrac (3n+1)(n)cdot dfrac (n+1)(n));-|||-(2) lim _(narrow +infty )dfrac ({n)^2+3n-1}(3{n)^2+5n-1}-|||-(3) lim _(narrow +infty )sqrt (n)(sqrt (n+1)-sqrt (n));-|||-(4) lim _(narrow +infty )dfrac (1+2+... +n)({n)^2}-|||-(5)lim2 (sinx-cosx-x^2);-|||-2-|||-(6) lim _(xarrow 0)dfrac ({x)^2-1}(2{x)^2-x-1};-|||-(7) lim _(xarrow 1)dfrac ({x)^2-1}(2{x)^2-x-1}-|||-(8) lim _(xarrow 1)(dfrac (1)(1-x)-dfrac (x+2)(1-{x)^3});-|||-(9) lim _(xarrow 16)dfrac (sqrt [4]{x)-2}(sqrt {x)-4};-|||-(10) lim _(xarrow +infty )dfrac (arctan x)(x);-|||-(11) lim _(Delta xarrow 0)dfrac (sqrt {Delta x+1)-1}(Delta x);-|||-(12) lim _(xarrow 1)dfrac (sqrt {3-x)-sqrt (1+x)}({x)^2+x-2}.

填表： α -(4π)/(3) -(5π)/(4) -(5π)/(3) -(7π)/(4) -(8π)/(3) -(11π)/(4) sinα cosα tanα

1+11+111+1111

已知向量 a=(3,-2), b=(1,5)则a﹒b=________________.[知识点] 内积的坐标运算 ;

设A,B为三阶方阵，且A,B，A,B，则A,B_________。

已知三角形ABC的三个内角的度数恰好成倍数关系，即∠A是∠B的3倍，∠B是∠C的2倍。∠A，∠B，∠C各是多少度？————

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