3.设f(x)在 =O 的邻域内二阶可导,且 (0)=0,-|||-(0)=2, 求-|||-lim _(xarrow 0)dfrac (f(x)-f[ ln
[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 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)二阶可导,f(x)是f(x)+2f(x)+e^x的一个原函数,且f(0)=0.f(0)=1求f(x),设函数f(x)二阶可导,f'(x)是f'(x
设f(x)二阶可导, lim _(xarrow 0)dfrac (f(x))(x)=1 (1)=1, 证明:存在 xi in (0,1), 使得-|||-(xi
[题目]-|||-设 ((x)_(0))=3 则 lim _(xarrow 0)dfrac (f({x)_(0)+x)-f((x)_(0)-3x)}(x)= _
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(
[题目]设f(x )具有二阶连续导数,且f(0)-|||-=0, lim _(xarrow 0)dfrac (f(x))(|x|)=1 则 ()-|||-A.f
154 设 lim _(xarrow {x)_(0)^+}f(x)=lim _(xarrow {x)_(0)^-}(x)=a, 则-|||-(A)f(x)在 =