14.设 '(ln x)=1+dfrac (1)(x) ,且 f(0)=0 ,则 f(x)= __

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

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

14.设 f(x)= ^x) xlt 0 dfrac (1)(1+x) xgeqslant 0f(x-1)dx

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)=(

[题目]-|||-设f(x)为连续函数,且 (x)=(int )_(dfrac {1)(x)}^ln xf(t)dt, 则F(x)等于 ()-|||-(A) d

[例15]设f(x)连续可导,且 lim _(xarrow 0)([ 1+x+dfrac {f(x))(x)] }^dfrac (1{x)}=(e)^3, 求f

设 gt 0 时 f(x)可导,且满足 (x)=1+dfrac (1)(x)(int )_(1)^xf(t)dt, 求 f(x).

1.已知 (x)=dfrac (1)(x(1+2ln x)) 且 f(1)=1, 则f(x)等于_ __-|||-

14.设f(x)的一个原函数是lnx,则 int dfrac (f(ln x))(x)dx= __

设((x)^2)=dfrac (1)(x) ( x > 0 ) ,则 f ( x ) = _____.设(x>0),则f(x)=_____.