用Aitken加速迭代法求下列方程在指定区间内的根。(1) =2+ln x (2,+infty );-|||-(2) =(x)^3-1,[ 1,1.5] .

[题目]试证下列函数在指定区间内的单调性.-|||-(1) =dfrac (x)(1-x) (-infty ,1) ;-|||-(2) =x+ln x (0,+

设=ln (x)^2+ln 2x，则=ln (x)^2+ln 2x（ ）=ln (x)^2+ln 2x=ln (x)^2+ln 2x=ln (x)

对于方程^3-3x-1=0(1) 分析方程的正根范围.(2) 可以构造迭代公式:^3-3x-1=0,^3-3x-1=0 分析两种迭代法的收敛性(2) 用Ne

160 求极限lim _(xarrow infty )(x)^2[ ln ((x)^2+1)-2ln x] = x]=160求极限

求lim _(xarrow infty )dfrac (ln (x+sqrt {{x)^2+1)}-ln (x+sqrt ({x)^2-1})}({({e)^d

求极限 lim _(xarrow +infty )dfrac (ln (x+sqrt {{x)^2+1})-ln (x+sqrt ({x)^2-1})}( l

设函数f(x)=x^2+ln(2-x)，则f(1)=1。( )设函数$$f(x)=x^2+ln(2-x)$$，则$$f(1)=1$$。( )

1.求函数的二阶导数:-|||-(1)y=2(x)^2+ln x;-|||-(2)y=(e)^2x-1,-|||-(3) =xcos x ;-|||-(4) =

注 类似地，求极限lim_(xto0)(ln(1+x)ln(1-x)-ln(1-x^2))/(x^4).2.“(infty)/(infty)”型极限注 类似地，

15 lim_(x to +infty) ln(1+2^x) ln(1+(2)/(x))=____.15 $\lim_{x \to +\infty} \ln(1