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

求极限 lim _(xarrow 0)[ dfrac (1)(x)-dfrac (1)({x)^2}ln (1+x)] .

求下列极限:lim _(xarrow 0)[ dfrac (1)(ln (1+x))-dfrac (1)(x)]求下列极限:

计算：lim _(xarrow 0)dfrac ({(1+x))^dfrac (2{x)}-(e)^2(1-ln (1+x))}(x)。计算：。

1.求极限 lim _(xarrow 0)(dfrac (1)(ln (1+x))-dfrac (1)(x))

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

计算极限 lim _(xarrow 0)dfrac ({(1+x))^dfrac (2{x)}-(e)^2[ 1-ln (1+x)] }(x) +x)]/

1.求极限 lim _(xarrow 0)(dfrac (1)(ln (1+x))-dfrac (1)(sin x))

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

计算lim _(xarrow 0)dfrac (ln (dfrac {1+x)(1-x))}((1+cos x)sin x)计算

求下列极限-|||-lim _(xarrow 0)[ dfrac (1)(ln (x+sqrt {1+{x)^2})}-dfrac (1)(ln (1+x))]