lim _(xarrow 0)sqrt [n](1+x)= 1

(7) lim _(xarrow infty )dfrac (sqrt {1+x)-1}(sqrt [3]{1+x)-1}

lim _(xarrow 0)dfrac (sqrt {1+x)+sqrt (1-x)-2}(sqrt {1+{x)^2}-1}

lim _(xarrow 1)dfrac (sqrt {3-x)-sqrt (1+x)}({x)^2-1}-|||-__

求极限 lim _(xarrow 0)dfrac ({x)^2((e)^x-1)}(sqrt {1+tan x)-sqrt (1+x)}

求极限lim _(xarrow 0)dfrac (x)(sqrt {1-x)-1}= ()lim _(xarrow 0)dfrac (x)(sqrt {1-x)

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

[题目] lim _(xarrow 1)dfrac (sqrt {3-x)-sqrt (1+x)}({x)^2+x-2}= __

1 计算下列极限1) lim _(xarrow 0)dfrac (sqrt {1+xsin x)-sqrt (cos x)}(xtan x);1) lim _(

[题目]求极限 lim _(xarrow 0)dfrac (sqrt {1+2sin x)-x-1}(xln (1+x))

lim _(xarrow 0)((1+x))^dfrac (2{x)}= __