已知f(x)满足 lim _(xarrow 1)dfrac (f(x))(ln x)=1, 则 () .-|||-(A) f(1)=0 (B) lim _(xa
已知 lim _(xarrow 0)([ 1+x+dfrac {f(x))(x)] }^dfrac (1{x)}=(e)^3, 则 lim _(xarrow 0
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
(B)若 lim _(xarrow 0)dfrac (f(x)+f(-x))(x) 存在,则 (0)=0.-|||-(C)若 lim _(xarrow 0)df
81.已知 lim _(xarrow a)dfrac (f(x)-A)(x-a)=k, 求 lim _(xarrow a)dfrac ({e)^f(x)-(e)
[例8]设f(x )在 x=1 连续,且 lim _(xarrow 1)dfrac (f(x)-2)(x-1) 存在,则 (1)= __-|||-解:因为 li
求下列极限: (1) lim _(xarrow a)dfrac (x)(x-a)(int )_(a)^xf(t)dt, 其中f(x)连续; (1) li
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
(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