lim _(xarrow 1)(dfrac (x)(x-1)-dfrac (1)(ln x))-|||-__ __
[题目] 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)) .
原式为:lim _(xarrow 0)(dfrac (1)({e)^x-1}-dfrac (1)(ln (1+x)))= )=原式为:
lim _(xarrow 1)dfrac ({x)^2-1}(x-1)(e)^dfrac (1{x-1)}=
lim _(xarrow 0)(dfrac (1)(x)-dfrac (1)({e)^x-1})-|||-__;;
lim _(xarrow 0)(dfrac (1)(x)-dfrac (1)({e)^x-1}) ()-|||-__ __
lim _(xarrow 0)(dfrac (1)(x)-dfrac (1)({e)^x-1}) ()-|||-__ __
求:lim _(xarrow +infty )(({x)^dfrac (1{x)}-1)}^dfrac (1{ln x)}求: