2.设f(x)在 x=0 的邻域内有定义, (0)=1, 且 lim _(xarrow 0)dfrac (ln (1+2x)-2xf(x))({x)^2}=0-|||-则f(x)在 x=0 处 () .-|||-(A)可导,且 '(0)=0 (B)可导,且 '(0)=-1-|||-(C)可导,且 '(0)=2 (D)不可导

设f(x)在R上有定义, (0)=1, 且满足:-|||-lim _(xarrow 0)dfrac (ln (1-2x)+2xf(x))({x)^2}=0-||

f(x)在 [ -8,8] 上有定义, (0)=1, 且满足-|||-lim _(xarrow 0)dfrac (ln (1-2x)+2xf(x))({x)^

2.设函数f(x)在区间 (-1,1) 内有定义,且 lim _(xarrow 0)f(x)=0, 则 ()-|||-A.当 lim _(xarrow 0)df

(2)设函数f(x)在区间 (-1,1) 内有定义,且 lim _(xarrow 0)f(x)=0, 则-|||-(A)当 lim _(xarrow 0)dfr

[题目]设f(x)在 x=0 处连续,且 lim _(xarrow 0)dfrac ((f(x)+1){x)^2}(x-sin x)=2,-|||-则曲线 =f

设 函数 f ( x ) 在 x = 0 处可导，且lim _(xarrow 0)dfrac (f(2x)-f(0))(ln (1+3x))=1，则f(0)=(

设y=f(x) 在x0处可导,且 ((x)_(0))=2, 则lim _(xarrow 0)dfrac (f({x)_(0)+2)x-f((x)_(0)-f(x

设 函数 f ( x ) 在 x = 1 处可导且lim _(xarrow 0)dfrac (f(1)-f(1-x))(2x)=1则 lim _(xarrow

[问答题]设函数f（x）满足f（x＋Δx）－f（x）＝2xf（x）Δx＋o（Δx）（Δx→0），且f（0）＝2，则f（1）＝_________

设lim _(xarrow 0)dfrac (ln (1+x+dfrac {f(x))(x))}(x)=3，则lim _(xarrow 0)dfrac (ln