[题目]-|||-求 lim _(xarrow 0)dfrac (sqrt {2+tan x)-sqrt (2+sin x)}({x)^3}

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

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

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

[例3]求极限 lim _(xarrow infty )dfrac (sqrt {4{x)^2+x-1}+x+1}(sqrt {{x)^2+sin x}}

[题目] lim _(xarrow 0)dfrac (sqrt {1+tan x)-sqrt (1+sin x)}(xsqrt {1+{sin )^2x}-x}

求下列极限：lim _(xarrow 0)dfrac (sin x-tan x)((sqrt [3]{1+{x)^2}-1)(sqrt (1+sin x)-1)

lim _(xarrow 0)dfrac (sin x-tan x)((sqrt [3]{1+{x)^2}-1)(sqrt (1+sin x)-1)}= __

[题目]求 lim _(xarrow 2)dfrac (sqrt {3x-2)-2}(sqrt {2x-1)-sqrt (3)}

(4) lim _(xarrow 0)dfrac (sin x-tan x)((sqrt [3]{1+{x)^2}-1)(sqrt (1+sin x)-1)}

(10) lim _(xarrow 0)dfrac (tan x-sin x)((sqrt [3]{1+{x)^2}-1)(sqrt (1+sin x)-1)}