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

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

31、若 lim _(xarrow 0)((1-2x))^dfrac (1{x)}=(e)^k, 则 k= __

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

求下列极限lim _(xarrow infty )dfrac ({(1+dfrac {1)(x))}^(x^2)}({e)^x}求下列极限

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

【题目]-|||-lim _(xarrow infty )x sin [ 1+dfrac {3)(x))] -sin [ ln (1+dfrac (1)(x))

lim _(xarrow infty )3x-(x)^2ln (1+dfrac (3)(x))

若(t)=lim _(xarrow infty )t((1+dfrac {1)(x))}^2tx, 则 (t)= __若

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

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