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

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

【题目】-|||-计算下列各极限:-|||-lim _(xarrow 0)dfrac (ln (1+3x))(sin 2x) ;

计算极限lim _(xarrow 0)((cos 2x))^dfrac (1{{x)^2}}计算极限

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}

21.计算极限 lim _(xarrow {0)^+}dfrac (ln tan 5x)(ln tan 2x)

[题目] 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})

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

[题目]极限 lim _(xarrow infty )xsin dfrac (2x)({x)^2+1}= __