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

(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)

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

[题目]求极限 lim _(xarrow infty )[ x-(x)^2ln (1+dfrac (1)(x))] .

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

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

求lim _(xarrow infty )[ x-(x)^2ln (1+dfrac (1)(x))] -|||-__求

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