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)dfrac (f(x))(sqrt {|x|)}=0 f(x)在 x=0 处可导.-|||-B.当 lim _(xarrow 0)dfrac (f(x))(sqrt {{x)^2}}=0, f(x)在 x=0 处可导.-|||-C.当f(x)在 x=0 处可导时, lim _(xarrow 0)dfrac (f(x))(sqrt {|x|)}=0.-|||-D.当f(x)在 x=0 处可导时, lim _(xarrow 0)dfrac (f(x))(sqrt {{x)^2}}=0.

(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

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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

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

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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-

1．设f(x)在x=0处可导，且f(0)=0,则lim _(xarrow 0)dfrac (f(3x)-f(x))(x)-|||-__=______.1．设f(

(B)若 lim _(xarrow 0)dfrac (f(x)+f(-x))(x) 存在,则 (0)=0.-|||-(C)若 lim _(xarrow 0)df