计算 lim _(xarrow infty )((1+dfrac {2)(x))}^3x
2.求极限 lim _(xarrow infty )[ (2+x)(e)^dfrac (1{x)}-x]
16、求极限 lim _(xarrow infty )((dfrac {x-1)(x+2))}^3x
求lim _(xarrow +infty )(sqrt ({x)^2+x}-x)求
) lim _(xarrow +infty )(sqrt ({x)^2+x}-sqrt ({x)^2-x});
) lim _(xarrow +infty )(sqrt ({x)^2+x}-sqrt ({x)^2-x});
(2)若 lim _(xarrow infty )((1+dfrac {k)(x))}^-3x=(e)^-1 ,则 k= __
7.[填空题]-|||-lim _(xarrow infty )dfrac (arctan x)(tan 3x)= __
(7) lim _(xarrow +infty )(sqrt ({x)^2+x}-sqrt ({x)^2-x}) ;
(2) lim _(xarrow infty )dfrac (arctan x)(x).