[题目] lim _(xarrow 1)(dfrac (x)(x-1)-dfrac (1)(ln x))

lim _(xarrow 1)(dfrac (x)(x-1)-dfrac (1)(ln x))-|||-__ __

lim _(xarrow 1)(dfrac (x)(x-1)-dfrac (1)(ln x))-|||-__ __

解：lim _(xarrow 1)(dfrac (1)(x-1)-dfrac (1)(ln x))-|||-__ __解：

求极限 lim _(xarrow 1)(dfrac (x)(x-1)-dfrac (1)(ln x)) .

[题目 lim _(xarrow 0)dfrac (ln {(1+x))^dfrac (1{x)-1}}(x)

原式为：lim _(xarrow 0)(dfrac (1)({e)^x-1}-dfrac (1)(ln (1+x)))= )=原式为：

[题目 lim _(xarrow 0)dfrac ({e)^x-1}(x)=1.

【题目]-|||-lim _(xarrow infty )x sin [ 1+dfrac {3)(x))] -sin [ ln (1+dfrac (1)(x))

[题目]-|||-lim _(xarrow infty )((dfrac {x+3)(x-1))}^x+1

lim _(xarrow 1)dfrac ({x)^2-1}(x-1)(e)^dfrac (1{x-1)}=