若(t)=lim _(xarrow infty )t((1+dfrac {1)(x))}^2tx, 则 '(t)= __

lim _(xarrow +infty )dfrac ({int )_(1)^(x^2)arctan dfrac (t)(2)tdt}({x)^3ln (1+d

(7) lim _(xarrow infty )((1+dfrac {1)(x))}^dfrac (x{2)};

(2)若 lim _(xarrow infty )((1+dfrac {k)(x))}^-3x=(e)^-1 ,则 k= __

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

函数 (x)=lim _(tarrow 0)((1+dfrac {sin t)(x))}^dfrac ({x)(t)} 在 (-infty ,+infty )

计算 lim _(xarrow infty )((1+dfrac {2)(x))}^3x

(9) lim _(xarrow +infty )dfrac (ln (1+dfrac {1)(x))}(arctan x) :

(9) lim _(xarrow +infty )dfrac (ln (1+dfrac {1)(x))}(arctan x)-|||-()

(9) lim _(xarrow +infty )dfrac (ln (1+dfrac {1)(x))}(arctan x) ,

极限 lim _(xarrow +infty )dfrac (ln (1+dfrac {1)(x))}(arctan x)