利用等价无穷小的性质，求下列极限：（1）lim _(xarrow 0)dfrac (tan 3x)(2x)（2）lim _(xarrow 0)dfrac (tan 3x)(2x)（n,m为正整数）（3）lim _(xarrow 0)dfrac (tan 3x)(2x)（4）lim _(xarrow 0)dfrac (tan 3x)(2x)

利用等价无穷小的性质, 求下列极限: (3)lim _(xarrow 0)dfrac (tan x-sin x)({sin )^3x}; 利用等价无穷小

极限lim _(xarrow 0)dfrac (tan 3x)(x)=__________极限__________

(8) lim _(xarrow dfrac {pi )(2)}dfrac (tan x)(tan 3x)

(8) lim _(xarrow dfrac {pi )(2)}dfrac (tan x)(tan 3x)

(3) lim _(xarrow 0)dfrac (1-cos 3x)({sin )^2x}

5.求极限 lim _(xarrow 0)dfrac ({tan )^2x-(x)^2}({x)^2(tan )^2x}

lim _(xarrow 0)dfrac (tan 5x)(3x)=dfrac (5)(3) ()

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

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

lim _(xarrow 0)dfrac ({(1+2{x)^2)}^dfrac (3{2)}-1}(tan 2x(cos sqrt {x)-1)}。。