设 f'(1)=1 ,则 =lim _(xarrow 0)dfrac (f(1+x)-f(1-2sin x))(x+2sin x)= .__

设f"(a)存在, (a)neq 0 ,则 lim _(xarrow a)[ dfrac (1)(f(a)(x-a))-dfrac (1)(f(x)-f(a))

1.设f(x)为可导函数,且 lim _(xarrow 0)dfrac (f(1)-f(1-x))(2x)=-1 ,则 f(1)= __

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)=(

若F(x)=2x+sin x，且F(0)=1，则F(x)=(）A. $x^2-\cos x$B. $x^2-\cos x+2$C. $x^2+\cos x$D.

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

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

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

[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

已知f(x)满足 lim _(xarrow 1)dfrac (f(x))(ln x)=1, 则 () .-|||-(A) f(1)=0 (B) lim _(xa

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