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

(4) lim _(xarrow 0)dfrac (sqrt {x+1)-1}(x);

lim _(xarrow 0)dfrac (sin 4x)(sin x)= )-|||-__lim _(xarrow 0)dfrac (sin 4x)(sin

lim _(xarrow 0)dfrac (sqrt {x+1)-1}(x)= () ． ．

3.求下列极限:-|||-(1) lim _(xarrow 0)sqrt ({x)^2-2x+5} ;-|||-(4 lim _(xarrow 0)dfrac

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 -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}}=

计算下列极限lim _(xarrow 0)(x)^2sin dfrac (1)(x)lim _(xarrow 0)(x)^2sin dfrac (1)(x)计算

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

1、计算极限 lim _(xarrow 0)dfrac (sin x-tan x)({x)^2(sqrt (1+sin x)-1)}