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

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

[题目]求 lim _(xarrow 0)dfrac ({e)^x-sin x-1}(1-sqrt {1-{x)^2}}

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

计算函数极限：lim _(xarrow 0)((1+2sin x))^dfrac (1{2x)}计算函数极限：

[题目] 求极限: lim _(xarrow -infty )dfrac (sqrt {4{x)^2+x-1}+x+1}(sqrt {{x)^2+sin x}}

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

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

[题目]求极限 lim _(xarrow 0)dfrac (3sin x+{x)^2cos dfrac (1)(x)}((1+cos x)ln (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 (x+sqrt {1+{x)^2})}-dfrac (1)(ln (1+x))]