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

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

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

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

求下列极限:-|||-(6) lim _(xarrow +infty )(x)^dfrac (3{2)}(sqrt (x+2)-2sqrt (x+1)+sqrt

8.计算下列极限：(1) lim _(xarrow 0)dfrac (sin 4x)(sqrt {x+1)-1}(1) lim _(xarrow 0)dfrac

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

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

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

(4) lim _(xarrow 1)dfrac ({x)^2-sqrt (x)}(sqrt {x)-1};

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