1.证明下列各式:-|||-(1) -(x)^2=0(x)(xarrow 0);-|||-(2) sin sqrt (x)=O((x)^dfrac (3{2)})(xarrow (0)^+);-|||-(3) sqrt (1+x)-1=0(1)(xarrow 0);-|||-(4) ((1+x))^n=1+nx+o(x)(xarrow 0) (n为正整数);

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

1.求下列极限:-|||-(1) lim _(xarrow 0)dfrac (sin 2x)(x);-|||-(3) lim _(xarrow dfrac {p

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

lim _(xarrow 0)dfrac ({x)^2sin dfrac (1)(x)}(tan x)=A.0B.1C.lim _(xarrow 0)dfrac

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

若lim _(xarrow 0)dfrac ({(1+a{x)^2)}^sin x-1}({x)^3}=6-|||-__，则lim _(xarrow 0)dfr

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

(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)}

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