(4) lim _(xarrow 0)((1+3{tan )^2x)}^(cot ^2x);

【题目】-|||-计算下列极限:-|||-lim _(xarrow 0)((1+3{tan )^2x)}^(cot ^2x) .

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

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 (ta

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

0°.求下列极限.-|||-(4) lim _(xarrow 0)(dfrac (1)({sin )^2x}-dfrac ({cos )^2x}({x)^2})

[题目] lim _(xarrow 0)(dfrac (1)({sin )^2x}-dfrac ({cos )^2x}({x)^2})= __

(2) lim _(xarrow 0)[ dfrac (1)(ln (1+{tan )^2x)}-dfrac (1)(ln (1+{x)^2)}]

(2) lim _(xarrow 0)[ dfrac (1)(ln (1+{tan )^2x)}-dfrac (1)(ln (1+{x)^2)}]

[题目]求 lim _(xarrow 0)(dfrac (1)({sin )^2x}-dfrac ({cos )^2x}({x)^2})

[题目]求 lim _(xarrow 0)(dfrac (1)({sin )^2x}-dfrac ({cos )^2x}({x)^2})