求下列极限lim _(xarrow infty )dfrac ({(1+dfrac {1)(x))}^(x^2)}({e)^x}求下列极限
(7) lim _(xarrow infty )((1+dfrac {1)(x))}^dfrac (x{2)};
[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))
求lim _(xarrow infty )[ x-(x)^2ln (1+dfrac (1)(x))] -|||-__求
(2)若 lim _(xarrow infty )((1+dfrac {k)(x))}^-3x=(e)^-1 ,则 k= __
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) ,